55951171600 has 45 divisors (see below), whose sum is σ = 134434056477. Its totient is φ = 22378576320.

The previous prime is 55951171597. The next prime is 55951171657. The reversal of 55951171600 is 617115955.

The square root of 55951171600 is 236540.

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

It can be written as a sum of positive squares in only one way, i.e., 20142421776 + 35808749824 = 141924^2 + 189232^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4724887 + ... + 4736713.

Almost surely, 2^55951171600 is an apocalyptic number.

55951171600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

55951171600 is the 236540-th square number.

It is an amenable number.

55951171600 is an abundant number, since it is smaller than the sum of its proper divisors (78482884877).

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

55951171600 is an frugal number, since it uses more digits than its factorization.

55951171600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23672 (or 11834 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 40.

The spelling of 55951171600 in words is "fifty-five billion, nine hundred fifty-one million, one hundred seventy-one thousand, six hundred".