21969754560 has 672 divisors, whose sum is σ = 87763673088. Its totient is φ = 4999864320.

The previous prime is 21969754553. The next prime is 21969754579. The reversal of 21969754560 is 6545796912.

21969754560 is a `hidden beast` number, since 2 + 1 + 9 + 6 + 9 + 75 + 4 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21969754497 and 21969754506.

It is a congruent number.

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, 26694309 + ... + 26695131.

It is an arithmetic number, because the mean of its divisors is an integer number (130600704).

Almost surely, 2^21969754560 is an apocalyptic number.

21969754560 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 21969754560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43881836544).

21969754560 is an abundant number, since it is smaller than the sum of its proper divisors (65793918528).

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

21969754560 is a wasteful number, since it uses less digits than its factorization.

21969754560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 21969754560 in words is "twenty-one billion, nine hundred sixty-nine million, seven hundred fifty-four thousand, five hundred sixty".