56049991034400 has 1296 divisors, whose sum is σ = 220399678017792. Its totient is φ = 13391556710400.

The previous prime is 56049991034333. The next prime is 56049991034417. The reversal of 56049991034400 is 443019994065.

It is a happy number.

56049991034400 is a `hidden beast` number, since 5 + 6 + 0 + 4 + 9 + 99 + 103 + 440 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 43891926562 + ... + 43891927838.

It is an arithmetic number, because the mean of its divisors is an integer number (170061479952).

Almost surely, 2^{56049991034400} is an apocalyptic number.

56049991034400 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 56049991034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110199839008896).

56049991034400 is an abundant number, since it is smaller than the sum of its proper divisors (164349686983392).

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

56049991034400 is a wasteful number, since it uses less digits than its factorization.

56049991034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2015 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 56049991034400 in words is "fifty-six trillion, forty-nine billion, nine hundred ninety-one million, thirty-four thousand, four hundred".