21375526514400 has 144 divisors (see below), whose sum is σ = 77308154305200. Its totient is φ = 5700140398080.

The previous prime is 21375526514393. The next prime is 21375526514417. The reversal of 21375526514400 is 441562557312.

21375526514400 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 552 + 6 + 51 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 494782255 + ... + 494825454.

It is an arithmetic number, because the mean of its divisors is an integer number (536862182675).

Almost surely, 2^{21375526514400} is an apocalyptic number.

21375526514400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21375526514400 is an abundant number, since it is smaller than the sum of its proper divisors (55932627790800).

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

21375526514400 is a wasteful number, since it uses less digits than its factorization.

21375526514400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989607738 (or 989607719 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 21375526514400 in words is "twenty-one trillion, three hundred seventy-five billion, five hundred twenty-six million, five hundred fourteen thousand, four hundred".