55677436400 has 120 divisors (see below), whose sum is σ = 138515926080. Its totient is φ = 21481528320.

The previous prime is 55677436361. The next prime is 55677436427. The reversal of 55677436400 is 463477655.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16505114 + ... + 16508486.

It is an arithmetic number, because the mean of its divisors is an integer number (1154299384).

Almost surely, 2^55677436400 is an apocalyptic number.

55677436400 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 55677436400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69257963040).

55677436400 is an abundant number, since it is smaller than the sum of its proper divisors (82838489680).

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

55677436400 is a wasteful number, since it uses less digits than its factorization.

55677436400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4843 (or 4832 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 47.

The spelling of 55677436400 in words is "fifty-five billion, six hundred seventy-seven million, four hundred thirty-six thousand, four hundred".