56335564800000 has 1368 divisors, whose sum is σ = 211700094514272. Its totient is φ = 14969733120000.

The previous prime is 56335564799999. The next prime is 56335564800037. The reversal of 56335564800000 is 846553365.

56335564800000 is a `hidden beast` number, since 5 + 6 + 3 + 3 + 5 + 564 + 80 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×56335564800000² (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 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, 199065599859 + ... + 199065600141.

Almost surely, 2^{56335564800000} is an apocalyptic number.

56335564800000 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 56335564800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105850047257136).

56335564800000 is an abundant number, since it is smaller than the sum of its proper divisors (155364529714272).

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

56335564800000 is an frugal number, since it uses more digits than its factorization.

56335564800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 56335564800000 in words is "fifty-six trillion, three hundred thirty-five billion, five hundred sixty-four million, eight hundred thousand".