213062088960 has 1152 divisors, whose sum is σ = 892050001920. Its totient is φ = 47745884160.

The previous prime is 213062088959. The next prime is 213062088961. The reversal of 213062088960 is 69880260312.

213062088960 is a `hidden beast` number, since 2 + 1 + 306 + 208 + 89 + 60 = 666.

213062088960 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 (213062088959) and next prime (213062088961).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213062088961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1626428095 + ... + 1626428225.

It is an arithmetic number, because the mean of its divisors is an integer number (774348960).

Almost surely, 2^213062088960 is an apocalyptic number.

213062088960 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 213062088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446025000960).

213062088960 is an abundant number, since it is smaller than the sum of its proper divisors (678987912960).

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

213062088960 is an frugal number, since it uses more digits than its factorization.

213062088960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 213062088960 in words is "two hundred thirteen billion, sixty-two million, eighty-eight thousand, nine hundred sixty".