21708074864160 has 288 divisors, whose sum is σ = 78944301596160. Its totient is φ = 5419320428544.

The previous prime is 21708074864129. The next prime is 21708074864191. The reversal of 21708074864160 is 6146847080712.

21708074864160 is a `hidden beast` number, since 2 + 1 + 7 + 0 + 80 + 74 + 86 + 416 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21708074864129) and next prime (21708074864191).

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 21708074864097 and 21708074864106.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5416095 + ... + 8529374.

It is an arithmetic number, because the mean of its divisors is an integer number (274112158320).

Almost surely, 2^{21708074864160} is an apocalyptic number.

21708074864160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21708074864160 is an abundant number, since it is smaller than the sum of its proper divisors (57236226732000).

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

21708074864160 is a wasteful number, since it uses less digits than its factorization.

21708074864160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13945560 (or 13945549 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 21708074864160 in words is "twenty-one trillion, seven hundred eight billion, seventy-four million, eight hundred sixty-four thousand, one hundred sixty".