21016513152 has 256 divisors, whose sum is σ = 63650448000. Its totient is φ = 6824263680.

The previous prime is 21016513129. The next prime is 21016513157. The reversal of 21016513152 is 25131561012.

21016513152 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 651 + 3 + 1 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21016513157) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32786752 + ... + 32787392.

Almost surely, 2^21016513152 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 21016513152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31825224000).

21016513152 is an abundant number, since it is smaller than the sum of its proper divisors (42633934848).

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

21016513152 is a wasteful number, since it uses less digits than its factorization.

21016513152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 21016513152 in words is "twenty-one billion, sixteen million, five hundred thirteen thousand, one hundred fifty-two".