213508911960 has 128 divisors (see below), whose sum is σ = 712166745600. Its totient is φ = 56898080640.

The previous prime is 213508911949. The next prime is 213508912003. The reversal of 213508911960 is 69119805312.

213508911960 is a `hidden beast` number, since 21 + 3 + 508 + 9 + 119 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1588917 + ... + 1718043.

It is an arithmetic number, because the mean of its divisors is an integer number (5563802700).

Almost surely, 2^213508911960 is an apocalyptic number.

213508911960 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 213508911960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356083372800).

213508911960 is an abundant number, since it is smaller than the sum of its proper divisors (498657833640).

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

213508911960 is a wasteful number, since it uses less digits than its factorization.

213508911960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130678 (or 130668 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 213508911960 in words is "two hundred thirteen billion, five hundred eight million, nine hundred eleven thousand, nine hundred sixty".