56706739200 has 1320 divisors, whose sum is σ = 232191701280. Its totient is φ = 13624934400.

The previous prime is 56706739189. The next prime is 56706739213. The reversal of 56706739200 is 293760765.

56706739200 is a `hidden beast` number, since 567 + 0 + 67 + 3 + 9 + 20 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1383091180 + ... + 1383091220.

It is an arithmetic number, because the mean of its divisors is an integer number (175902804).

Almost surely, 2^56706739200 is an apocalyptic number.

56706739200 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 56706739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116095850640).

56706739200 is an abundant number, since it is smaller than the sum of its proper divisors (175484962080).

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

56706739200 is a wasteful number, since it uses less digits than its factorization.

56706739200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 56706739200 in words is "fifty-six billion, seven hundred six million, seven hundred thirty-nine thousand, two hundred".