56787601200 has 240 divisors, whose sum is σ = 199281447552. Its totient is φ = 13708800000.

The previous prime is 56787601183. The next prime is 56787601207. The reversal of 56787601200 is 210678765.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (56787601207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3172275 + ... + 3190125.

Almost surely, 2^56787601200 is an apocalyptic number.

56787601200 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 56787601200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99640723776).

56787601200 is an abundant number, since it is smaller than the sum of its proper divisors (142493846352).

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

56787601200 is a wasteful number, since it uses less digits than its factorization.

56787601200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18124 (or 18113 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 56787601200 in words is "fifty-six billion, seven hundred eighty-seven million, six hundred one thousand, two hundred".