20057100871680 has 1296 divisors, whose sum is σ = 76754403786060. Its totient is φ = 5029065916416.

The previous prime is 20057100871669. The next prime is 20057100871729. The reversal of 20057100871680 is 8617800175002.

It is a happy number.

20057100871680 is a `hidden beast` number, since 2 + 0 + 0 + 571 + 0 + 0 + 8 + 71 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 18714691298304 + 1342409573376 = 4326048^2 + 1158624^2 .

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 19416360444 + ... + 19416361476.

Almost surely, 2^{20057100871680} is an apocalyptic number.

20057100871680 is a gapful number since it is divisible by the number (20) 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 20057100871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38377201893030).

20057100871680 is an abundant number, since it is smaller than the sum of its proper divisors (56697302914380).

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

20057100871680 is an frugal number, since it uses more digits than its factorization.

20057100871680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 20057100871680 in words is "twenty trillion, fifty-seven billion, one hundred million, eight hundred seventy-one thousand, six hundred eighty".