56398113777600 has 2016 divisors, whose sum is σ = 241525841356800. Its totient is φ = 12677890867200.

The previous prime is 56398113777583. The next prime is 56398113777619. The reversal of 56398113777600 is 677731189365.

It is a happy number.

56398113777600 is a `hidden beast` number, since 5 + 6 + 3 + 9 + 8 + 1 + 13 + 7 + 7 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×56398113777600² (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 287 ways as a sum of consecutive naturals, for example, 99117950116 + ... + 99117950684.

It is an arithmetic number, because the mean of its divisors is an integer number (119804484800).

Almost surely, 2^{56398113777600} is an apocalyptic number.

56398113777600 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 56398113777600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120762920678400).

56398113777600 is an abundant number, since it is smaller than the sum of its proper divisors (185127727579200).

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

56398113777600 is a wasteful number, since it uses less digits than its factorization.

56398113777600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 63.

The spelling of 56398113777600 in words is "fifty-six trillion, three hundred ninety-eight billion, one hundred thirteen million, seven hundred seventy-seven thousand, six hundred".