55877953600 has 252 divisors, whose sum is σ = 160322277780. Its totient is φ = 19112755200.

The previous prime is 55877953567. The next prime is 55877953603. The reversal of 55877953600 is 635977855.

It can be written as a sum of positive squares in 6 ways, for example, as 585252864 + 55292700736 = 24192^2 + 235144^2 .

It is not an unprimeable number, because it can be changed into a prime (55877953603) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 63425160 + ... + 63426040.

It is an arithmetic number, because the mean of its divisors is an integer number (636199515).

Almost surely, 2^55877953600 is an apocalyptic number.

55877953600 is a gapful number since it is divisible by the number (50) 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 55877953600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80161138890).

55877953600 is an abundant number, since it is smaller than the sum of its proper divisors (104444324180).

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

55877953600 is a wasteful number, since it uses less digits than its factorization.

55877953600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 55.

The spelling of 55877953600 in words is "fifty-five billion, eight hundred seventy-seven million, nine hundred fifty-three thousand, six hundred".