55794813580800 has 720 divisors, whose sum is σ = 231413436663552. Its totient is φ = 12573466214400.

The previous prime is 55794813580769. The next prime is 55794813580811. The reversal of 55794813580800 is 808531849755.

55794813580800 is a `hidden beast` number, since 5 + 5 + 7 + 9 + 48 + 1 + 3 + 580 + 8 + 0 + 0 = 666.

55794813580800 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×55794813580800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56767147 + ... + 57741653.

Almost surely, 2^{55794813580800} is an apocalyptic number.

55794813580800 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 55794813580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115706718331776).

55794813580800 is an abundant number, since it is smaller than the sum of its proper divisors (175618623082752).

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

55794813580800 is a wasteful number, since it uses less digits than its factorization.

55794813580800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974619 (or 974595 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 63.

The spelling of 55794813580800 in words is "fifty-five trillion, seven hundred ninety-four billion, eight hundred thirteen million, five hundred eighty thousand, eight hundred".