20087057731104 has 1920 divisors, whose sum is σ = 77596060872960. Its totient is φ = 5018543308800.

The previous prime is 20087057731079. The next prime is 20087057731159. The reversal of 20087057731104 is 40113775078002.

20087057731104 is a `hidden beast` number, since 2 + 0 + 0 + 8 + 70 + 577 + 3 + 1 + 1 + 0 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 20087057731104.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 40910504299 + ... + 40910504789.

It is an arithmetic number, because the mean of its divisors is an integer number (40414615038).

Almost surely, 2^{20087057731104} is an apocalyptic number.

20087057731104 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 20087057731104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38798030436480).

20087057731104 is an abundant number, since it is smaller than the sum of its proper divisors (57509003141856).

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

20087057731104 is a wasteful number, since it uses less digits than its factorization.

20087057731104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 20087057731104 in words is "twenty trillion, eighty-seven billion, fifty-seven million, seven hundred thirty-one thousand, one hundred four".