56237781600 has 2592 divisors, whose sum is σ = 293319726336. Its totient is φ = 10152345600.

The previous prime is 56237781527. The next prime is 56237781653. The reversal of 56237781600 is 618773265.

56237781600 is a `hidden beast` number, since 5 + 6 + 2 + 37 + 7 + 8 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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 431 ways as a sum of consecutive naturals, for example, 3308104792 + ... + 3308104808.

Almost surely, 2^56237781600 is an apocalyptic number.

56237781600 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 56237781600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146659863168).

56237781600 is an abundant number, since it is smaller than the sum of its proper divisors (237081944736).

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

56237781600 is a wasteful number, since it uses less digits than its factorization.

56237781600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 56237781600 in words is "fifty-six billion, two hundred thirty-seven million, seven hundred eighty-one thousand, six hundred".