21157530059232 has 384 divisors, whose sum is σ = 72458359142400. Its totient is φ = 5879423397888.

The previous prime is 21157530059231. The next prime is 21157530059311. The reversal of 21157530059232 is 23295003575112.

21157530059232 is a `hidden beast` number, since 2 + 1 + 1 + 5 + 7 + 53 + 0 + 0 + 592 + 3 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21157530059231) 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 63 ways as a sum of consecutive naturals, for example, 649605444 + ... + 649638012.

It is an arithmetic number, because the mean of its divisors is an integer number (188693643600).

Almost surely, 2^{21157530059232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21157530059232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36229179571200).

21157530059232 is an abundant number, since it is smaller than the sum of its proper divisors (51300829083168).

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

21157530059232 is a wasteful number, since it uses less digits than its factorization.

21157530059232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35535 (or 35521 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 21157530059232 in words is "twenty-one trillion, one hundred fifty-seven billion, five hundred thirty million, fifty-nine thousand, two hundred thirty-two".