55877852160 has 1408 divisors, whose sum is σ = 237700915200. Its totient is φ = 12315525120.

The previous prime is 55877852099. The next prime is 55877852179. The reversal of 55877852160 is 6125877855.

55877852160 is a `hidden beast` number, since 5 + 58 + 7 + 7 + 8 + 521 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 55877852097 and 55877852106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 947082211 + ... + 947082269.

Almost surely, 2^55877852160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55877852160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118850457600).

55877852160 is an abundant number, since it is smaller than the sum of its proper divisors (181823063040).

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

55877852160 is a wasteful number, since it uses less digits than its factorization.

55877852160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 54.

The spelling of 55877852160 in words is "fifty-five billion, eight hundred seventy-seven million, eight hundred fifty-two thousand, one hundred sixty".