56398399200 has 1728 divisors, whose sum is σ = 260645817600. Its totient is φ = 11570688000.

The previous prime is 56398399163. The next prime is 56398399229. The reversal of 56398399200 is 299389365.

56398399200 = T₁₈₄₆₇ + T₁₈₄₆₈ + ... + T₁₈₇₉₁.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1819303185 + ... + 1819303215.

It is an arithmetic number, because the mean of its divisors is an integer number (150836700).

Almost surely, 2^56398399200 is an apocalyptic number.

56398399200 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 56398399200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130322908800).

56398399200 is an abundant number, since it is smaller than the sum of its proper divisors (204247418400).

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

56398399200 is a wasteful number, since it uses less digits than its factorization.

56398399200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 56398399200 in words is "fifty-six billion, three hundred ninety-eight million, three hundred ninety-nine thousand, two hundred".