21025686528000 has 1344 divisors, whose sum is σ = 94507062923520. Its totient is φ = 4368826368000.

The previous prime is 21025686527987. The next prime is 21025686528019. The reversal of 21025686528000 is 82568652012.

It is a happy number.

21025686528000 is a `hidden beast` number, since 2 + 1 + 0 + 2 + 568 + 6 + 5 + 2 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

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, 709617186 + ... + 709646814.

Almost surely, 2^{21025686528000} is an apocalyptic number.

21025686528000 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 21025686528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47253531461760).

21025686528000 is an abundant number, since it is smaller than the sum of its proper divisors (73481376395520).

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

21025686528000 is a wasteful number, since it uses less digits than its factorization.

21025686528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29694 (or 29657 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 21025686528000 in words is "twenty-one trillion, twenty-five billion, six hundred eighty-six million, five hundred twenty-eight thousand".