55117661600 has 72 divisors (see below), whose sum is σ = 135334111500. Its totient is φ = 21919569920.

The previous prime is 55117661581. The next prime is 55117661611. The reversal of 55117661600 is 616671155.

It can be written as a sum of positive squares in 6 ways, for example, as 29759010064 + 25358651536 = 172508^2 + 159244^2 .

It is a super-2 number, since 2×55117661600² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60725 + ... + 337524.

Almost surely, 2^55117661600 is an apocalyptic number.

55117661600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55117661600 is an abundant number, since it is smaller than the sum of its proper divisors (80216449900).

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

55117661600 is a wasteful number, since it uses less digits than its factorization.

55117661600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398442 (or 398429 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 38.

The spelling of 55117661600 in words is "fifty-five billion, one hundred seventeen million, six hundred sixty-one thousand, six hundred".