55755312760400 has 120 divisors (see below), whose sum is σ = 146267346513888. Its totient is φ = 20255548480000.

The previous prime is 55755312760379. The next prime is 55755312760447. The reversal of 55755312760400 is 406721355755.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1303166 + ... + 10639965.

Almost surely, 2^{55755312760400} is an apocalyptic number.

55755312760400 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 55755312760400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73133673256944).

55755312760400 is an abundant number, since it is smaller than the sum of its proper divisors (90512033753488).

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

55755312760400 is a wasteful number, since it uses less digits than its factorization.

55755312760400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11944221 (or 11944210 counting only the distinct ones).

The product of its (nonzero) digits is 4410000, while the sum is 50.

The spelling of 55755312760400 in words is "fifty-five trillion, seven hundred fifty-five billion, three hundred twelve million, seven hundred sixty thousand, four hundred".