20054615088100 has 36 divisors (see below), whose sum is σ = 43520691862900. Its totient is φ = 8021444722560.

The previous prime is 20054615087957. The next prime is 20054615088163. The reversal of 20054615088100 is 188051645002.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1074266176 + 20053540821924 = 32776^2 + 4478118^2 .

It is a super-2 number, since 2×20054615088100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3003495 + ... + 7009294.

Almost surely, 2^{20054615088100} is an apocalyptic number.

20054615088100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20054615088100 is an abundant number, since it is smaller than the sum of its proper divisors (23466076774800).

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

20054615088100 is a wasteful number, since it uses less digits than its factorization.

20054615088100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10032832 (or 10032825 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 40.

The spelling of 20054615088100 in words is "twenty trillion, fifty-four billion, six hundred fifteen million, eighty-eight thousand, one hundred".