20516406656160 has 96 divisors (see below), whose sum is σ = 68028085258560. Its totient is φ = 5183092205568.

The previous prime is 20516406656159. The next prime is 20516406656189. The reversal of 20516406656160 is 6165660461502.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×20516406656160³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1124793877 + ... + 1124812116.

It is an arithmetic number, because the mean of its divisors is an integer number (708625888110).

Almost surely, 2^{20516406656160} is an apocalyptic number.

20516406656160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20516406656160 is an abundant number, since it is smaller than the sum of its proper divisors (47511678602400).

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

20516406656160 is a wasteful number, since it uses less digits than its factorization.

20516406656160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2249606030 (or 2249606022 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 20516406656160 in words is "twenty trillion, five hundred sixteen billion, four hundred six million, six hundred fifty-six thousand, one hundred sixty".