21261116524032 has 480 divisors, whose sum is σ = 77179208071680. Its totient is φ = 5473487093760.

The previous prime is 21261116524031. The next prime is 21261116524127. The reversal of 21261116524032 is 23042561116212.

21261116524032 is a `hidden beast` number, since 2 + 1 + 2 + 611 + 1 + 6 + 5 + 2 + 4 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21261116524031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39829069 + ... + 40359347.

It is an arithmetic number, because the mean of its divisors is an integer number (160790016816).

Almost surely, 2^{21261116524032} is an apocalyptic number.

21261116524032 is a gapful number since it is divisible by the number (22) 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 21261116524032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38589604035840).

21261116524032 is an abundant number, since it is smaller than the sum of its proper divisors (55918091547648).

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

21261116524032 is a wasteful number, since it uses less digits than its factorization.

21261116524032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530434 (or 530415 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 21261116524032 in words is "twenty-one trillion, two hundred sixty-one billion, one hundred sixteen million, five hundred twenty-four thousand, thirty-two".