55876677120 has 1200 divisors, whose sum is σ = 234698509584. Its totient is φ = 12651724800.

The previous prime is 55876677097. The next prime is 55876677121. The reversal of 55876677120 is 2177667855.

It is a happy number.

55876677120 is a `hidden beast` number, since 558 + 7 + 6 + 6 + 77 + 12 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55876677121) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 426539455 + ... + 426539585.

Almost surely, 2^55876677120 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 55876677120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117349254792).

55876677120 is an abundant number, since it is smaller than the sum of its proper divisors (178821832464).

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

55876677120 is a wasteful number, since it uses less digits than its factorization.

55876677120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The spelling of 55876677120 in words is "fifty-five billion, eight hundred seventy-six million, six hundred seventy-seven thousand, one hundred twenty".