21256326000 has 960 divisors, whose sum is σ = 96323834880. Its totient is φ = 4242585600.

The previous prime is 21256325969. The next prime is 21256326059. The reversal of 21256326000 is 62365212.

21256326000 is a `hidden beast` number, since 2 + 1 + 2 + 56 + 3 + 2 + 600 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31121659 + ... + 31122341.

It is an arithmetic number, because the mean of its divisors is an integer number (100337328).

Almost surely, 2^21256326000 is an apocalyptic number.

21256326000 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 21256326000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48161917440).

21256326000 is an abundant number, since it is smaller than the sum of its proper divisors (75067508880).

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

21256326000 is a wasteful number, since it uses less digits than its factorization.

21256326000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 21256326000 in words is "twenty-one billion, two hundred fifty-six million, three hundred twenty-six thousand".