213508996968960 has 3840 divisors, whose sum is σ = 1013266712494080. Its totient is φ = 41389082542080.

The previous prime is 213508996968959. The next prime is 213508996968961. The reversal of 213508996968960 is 69869699805312.

213508996968960 is a `hidden beast` number, since 2 + 1 + 350 + 8 + 9 + 96 + 96 + 8 + 96 + 0 = 666.

213508996968960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213508996968959) and next prime (213508996968961).

It is a tau number, because it is divible by the number of its divisors (3840).

It is a self number, because there is not a number n which added to its sum of digits gives 213508996968960.

It is not an unprimeable number, because it can be changed into a prime (213508996968961) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 195342174174 + ... + 195342175266.

It is an arithmetic number, because the mean of its divisors is an integer number (263871539712).

Almost surely, 2^{213508996968960} is an apocalyptic number.

213508996968960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213508996968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506633356247040).

213508996968960 is an abundant number, since it is smaller than the sum of its proper divisors (799757715525120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213508996968960 is a wasteful number, since it uses less digits than its factorization.

213508996968960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 2720977920, while the sum is 81.

The spelling of 213508996968960 in words is "two hundred thirteen trillion, five hundred eight billion, nine hundred ninety-six million, nine hundred sixty-eight thousand, nine hundred sixty".