5154579936900 has 81 divisors (see below), whose sum is σ = 16156957939941. Its totient is φ = 1374536486880.

The previous prime is 5154579936871. The next prime is 5154579936917. The reversal of 5154579936900 is 96399754515.

The square root of 5154579936900 is 2270370.

It is a perfect power (a square), and thus also a powerful number.

5154579936900 is a `hidden beast` number, since 5 + 1 + 5 + 457 + 9 + 93 + 6 + 90 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1855648777284 + 3298931159616 = 1362222^2 + 1816296^2 .

It is a super-2 number, since 2×5154579936900² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 68073261 + ... + 68148939.

Almost surely, 2^{5154579936900} is an apocalyptic number.

5154579936900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5154579936900 is the 2270370-th square number.

It is an amenable number.

5154579936900 is an abundant number, since it is smaller than the sum of its proper divisors (11002378003041).

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

5154579936900 is an frugal number, since it uses more digits than its factorization.

5154579936900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151378 (or 75689 counting only the distinct ones).

The product of its (nonzero) digits is 45927000, while the sum is 63.

The spelling of 5154579936900 in words is "five trillion, one hundred fifty-four billion, five hundred seventy-nine million, nine hundred thirty-six thousand, nine hundred".