56377404600 has 192 divisors, whose sum is σ = 193505293440. Its totient is φ = 13463155200.

The previous prime is 56377404571. The next prime is 56377404641. The reversal of 56377404600 is 640477365.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 378454 + ... + 505946.

It is an arithmetic number, because the mean of its divisors is an integer number (1007840070).

Almost surely, 2^56377404600 is an apocalyptic number.

56377404600 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 56377404600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96752646720).

56377404600 is an abundant number, since it is smaller than the sum of its proper divisors (137127888840).

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

56377404600 is a wasteful number, since it uses less digits than its factorization.

56377404600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127590 (or 127581 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The spelling of 56377404600 in words is "fifty-six billion, three hundred seventy-seven million, four hundred four thousand, six hundred".