21052676736 has 768 divisors, whose sum is σ = 79507612800. Its totient is φ = 5434490880.

The previous prime is 21052676713. The next prime is 21052676753. The reversal of 21052676736 is 63767625012.

21052676736 is a `hidden beast` number, since 21 + 0 + 526 + 76 + 7 + 36 = 666.

It is a super-2 number, since 2×21052676736² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21052676691 and 21052676700.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 160707391 + ... + 160707521.

Almost surely, 2^21052676736 is an apocalyptic number.

21052676736 is a gapful number since it is divisible by the number (26) 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 21052676736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39753806400).

21052676736 is an abundant number, since it is smaller than the sum of its proper divisors (58454936064).

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

21052676736 is a wasteful number, since it uses less digits than its factorization.

21052676736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 21052676736 in words is "twenty-one billion, fifty-two million, six hundred seventy-six thousand, seven hundred thirty-six".