21870756432 has 240 divisors, whose sum is σ = 75384460800. Its totient is φ = 6047032320.

The previous prime is 21870756407. The next prime is 21870756469. The reversal of 21870756432 is 23465707812.

21870756432 is a `hidden beast` number, since 2 + 1 + 87 + 0 + 7 + 564 + 3 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 639544 + ... + 672872.

It is an arithmetic number, because the mean of its divisors is an integer number (314101920).

Almost surely, 2^21870756432 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 21870756432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37692230400).

21870756432 is an abundant number, since it is smaller than the sum of its proper divisors (53513704368).

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

21870756432 is a wasteful number, since it uses less digits than its factorization.

21870756432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33391 (or 33372 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 21870756432 in words is "twenty-one billion, eight hundred seventy million, seven hundred fifty-six thousand, four hundred thirty-two".