21632443560 has 1152 divisors, whose sum is σ = 96801868800. Its totient is φ = 4133928960.

The previous prime is 21632443549. The next prime is 21632443561. The reversal of 21632443560 is 6534423612.

21632443560 is a `hidden beast` number, since 2 + 1 + 63 + 244 + 356 + 0 = 666.

It is a super-2 number, since 2×21632443560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21632443561) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 120851551 + ... + 120851729.

It is an arithmetic number, because the mean of its divisors is an integer number (84029400).

Almost surely, 2^21632443560 is an apocalyptic number.

21632443560 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 21632443560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48400934400).

21632443560 is an abundant number, since it is smaller than the sum of its proper divisors (75169425240).

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

21632443560 is a wasteful number, since it uses less digits than its factorization.

21632443560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 21632443560 in words is "twenty-one billion, six hundred thirty-two million, four hundred forty-three thousand, five hundred sixty".