56078193600 has 1008 divisors, whose sum is σ = 237212879904. Its totient is φ = 12386304000.

The previous prime is 56078193599. The next prime is 56078193601. The reversal of 56078193600 is 639187065.

It is a happy number.

56078193600 is a `hidden beast` number, since 5 + 607 + 8 + 1 + 9 + 36 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56078193599) and next prime (56078193601).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56078193601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 232689480 + ... + 232689720.

It is an arithmetic number, because the mean of its divisors is an integer number (235330238).

Almost surely, 2^56078193600 is an apocalyptic number.

56078193600 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 56078193600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118606439952).

56078193600 is an abundant number, since it is smaller than the sum of its proper divisors (181134686304).

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

56078193600 is a wasteful number, since it uses less digits than its factorization.

56078193600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 56078193600 in words is "fifty-six billion, seventy-eight million, one hundred ninety-three thousand, six hundred".