21070315752864 has 288 divisors, whose sum is σ = 65431125841536. Its totient is φ = 5918501191680.

The previous prime is 21070315752847. The next prime is 21070315752929. The reversal of 21070315752864 is 46825751307012.

It is a super-2 number, since 2×21070315752864² (a number of 27 digits) contains 22 as substring.

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, 106696264 + ... + 106893560.

It is an arithmetic number, because the mean of its divisors is an integer number (227191409172).

Almost surely, 2^{21070315752864} is an apocalyptic number.

21070315752864 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 21070315752864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32715562920768).

21070315752864 is an abundant number, since it is smaller than the sum of its proper divisors (44360810088672).

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

21070315752864 is a wasteful number, since it uses less digits than its factorization.

21070315752864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197708 (or 197693 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 51.

The spelling of 21070315752864 in words is "twenty-one trillion, seventy billion, three hundred fifteen million, seven hundred fifty-two thousand, eight hundred sixty-four".