21437187932160 has 2880 divisors, whose sum is σ = 103105864802304. Its totient is φ = 3974941900800.

The previous prime is 21437187932099. The next prime is 21437187932179. The reversal of 21437187932160 is 6123978173412.

21437187932160 is a `hidden beast` number, since 2 + 1 + 4 + 371 + 87 + 9 + 32 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a junction number, because it is equal to n+sod(n) for n = 21437187932097 and 21437187932106.

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, 22878535212 + ... + 22878536148.

Almost surely, 2^{21437187932160} is an apocalyptic number.

21437187932160 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 21437187932160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51552932401152).

21437187932160 is an abundant number, since it is smaller than the sum of its proper divisors (81668676870144).

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

21437187932160 is a wasteful number, since it uses less digits than its factorization.

21437187932160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 21437187932160 in words is "twenty-one trillion, four hundred thirty-seven billion, one hundred eighty-seven million, nine hundred thirty-two thousand, one hundred sixty".