56671293600 has 720 divisors, whose sum is σ = 214496583840. Its totient is φ = 14612659200.

The previous prime is 56671293589. The next prime is 56671293611. The reversal of 56671293600 is 639217665.

56671293600 is a `hidden beast` number, since 566 + 7 + 1 + 29 + 3 + 60 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56671293589) and next prime (56671293611).

It is a tau number, because it is divible by the number of its divisors (720).

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

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 119 ways as a sum of consecutive naturals, for example, 929037570 + ... + 929037630.

It is an arithmetic number, because the mean of its divisors is an integer number (297911922).

Almost surely, 2^56671293600 is an apocalyptic number.

56671293600 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 56671293600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107248291920).

56671293600 is an abundant number, since it is smaller than the sum of its proper divisors (157825290240).

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

56671293600 is an frugal number, since it uses more digits than its factorization.

56671293600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 56671293600 in words is "fifty-six billion, six hundred seventy-one million, two hundred ninety-three thousand, six hundred".