21329052408864 has 48 divisors (see below), whose sum is σ = 62209736195040. Its totient is φ = 7109684136000.

The previous prime is 21329052408857. The next prime is 21329052408913. The reversal of 21329052408864 is 46880425092312.

21329052408864 is a `hidden beast` number, since 2 + 1 + 32 + 9 + 0 + 524 + 0 + 8 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a self number, because there is not a number n which added to its sum of digits gives 21329052408864.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12343200762 + ... + 12343202489.

It is an arithmetic number, because the mean of its divisors is an integer number (1296036170730).

Almost surely, 2^{21329052408864} is an apocalyptic number.

21329052408864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21329052408864 is an abundant number, since it is smaller than the sum of its proper divisors (40880683786176).

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

21329052408864 is a wasteful number, since it uses less digits than its factorization.

21329052408864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24686403270 (or 24686403256 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 21329052408864 in words is "twenty-one trillion, three hundred twenty-nine billion, fifty-two million, four hundred eight thousand, eight hundred sixty-four".