55933381022400 has 504 divisors, whose sum is σ = 227432038489344. Its totient is φ = 12771744307200.

The previous prime is 55933381022371. The next prime is 55933381022413. The reversal of 55933381022400 is 422018333955.

55933381022400 is a `hidden beast` number, since 5 + 5 + 93 + 338 + 1 + 0 + 224 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×55933381022400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 98804155 + ... + 99368645.

Almost surely, 2^{55933381022400} is an apocalyptic number.

55933381022400 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 55933381022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113716019244672).

55933381022400 is an abundant number, since it is smaller than the sum of its proper divisors (171498657466944).

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

55933381022400 is a wasteful number, since it uses less digits than its factorization.

55933381022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565509 (or 565491 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 55933381022400 in words is "fifty-five trillion, nine hundred thirty-three billion, three hundred eighty-one million, twenty-two thousand, four hundred".