21937139228160 has 960 divisors, whose sum is σ = 86117525125632. Its totient is φ = 5319184121856.

The previous prime is 21937139228159. The next prime is 21937139228197. The reversal of 21937139228160 is 6182293173912.

21937139228160 is a `hidden beast` number, since 2 + 1 + 9 + 3 + 71 + 392 + 28 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 21937139228097 and 21937139228106.

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, 541811437 + ... + 541851923.

Almost surely, 2^{21937139228160} is an apocalyptic number.

21937139228160 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 21937139228160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43058762562816).

21937139228160 is an abundant number, since it is smaller than the sum of its proper divisors (64180385897472).

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

21937139228160 is an equidigital number, since it uses as much as digits as its factorization.

21937139228160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40605 (or 40577 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 21937139228160 in words is "twenty-one trillion, nine hundred thirty-seven billion, one hundred thirty-nine million, two hundred twenty-eight thousand, one hundred sixty".