55757876428800 has 4080 divisors, whose sum is σ = 268714759765760. Its totient is φ = 11145125560320.

The previous prime is 55757876428747. The next prime is 55757876428817. The reversal of 55757876428800 is 882467875755.

55757876428800 is a `hidden beast` number, since 5 + 5 + 7 + 57 + 8 + 76 + 428 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2934625075191 + ... + 2934625075209.

Almost surely, 2^{55757876428800} is an apocalyptic number.

55757876428800 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 55757876428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134357379882880).

55757876428800 is an abundant number, since it is smaller than the sum of its proper divisors (212956883336960).

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

55757876428800 is an frugal number, since it uses more digits than its factorization.

55757876428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1053696000, while the sum is 72.

The spelling of 55757876428800 in words is "fifty-five trillion, seven hundred fifty-seven billion, eight hundred seventy-six million, four hundred twenty-eight thousand, eight hundred".