21427370050464 has 432 divisors, whose sum is σ = 72964856764800. Its totient is φ = 5943011171328.

The previous prime is 21427370050441. The next prime is 21427370050481. The reversal of 21427370050464 is 46405007372412.

21427370050464 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 73 + 70 + 0 + 50 + 464 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 229174477 + ... + 229267955.

It is an arithmetic number, because the mean of its divisors is an integer number (168900131400).

Almost surely, 2^{21427370050464} is an apocalyptic number.

21427370050464 is a gapful number since it is divisible by the number (24) 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 21427370050464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36482428382400).

21427370050464 is an abundant number, since it is smaller than the sum of its proper divisors (51537486714336).

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

21427370050464 is a wasteful number, since it uses less digits than its factorization.

21427370050464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93985 (or 93967 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 21427370050464 in words is "twenty-one trillion, four hundred twenty-seven billion, three hundred seventy million, fifty thousand, four hundred sixty-four".