56278076400 has 960 divisors, whose sum is σ = 248707415040. Its totient is φ = 11769753600.

The previous prime is 56278076383. The next prime is 56278076471. The reversal of 56278076400 is 467087265.

56278076400 is a `hidden beast` number, since 562 + 7 + 80 + 7 + 6 + 4 + 0 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 170024235 + ... + 170024565.

It is an arithmetic number, because the mean of its divisors is an integer number (259070224).

Almost surely, 2^56278076400 is an apocalyptic number.

56278076400 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 56278076400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124353707520).

56278076400 is an abundant number, since it is smaller than the sum of its proper divisors (192429338640).

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

56278076400 is a wasteful number, since it uses less digits than its factorization.

56278076400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 56278076400 in words is "fifty-six billion, two hundred seventy-eight million, seventy-six thousand, four hundred".