56574144144000 has 1792 divisors, whose sum is σ = 255200551257600. Its totient is φ = 12170273587200.

The previous prime is 56574144143999. The next prime is 56574144144019. The reversal of 56574144144000 is 44144147565.

56574144144000 is a `hidden beast` number, since 5 + 65 + 7 + 4 + 144 + 1 + 440 + 0 + 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 223 ways as a sum of consecutive naturals, for example, 1387995621 + ... + 1388036379.

Almost surely, 2^{56574144144000} is an apocalyptic number.

56574144144000 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 56574144144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127600275628800).

56574144144000 is an abundant number, since it is smaller than the sum of its proper divisors (198626407113600).

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

56574144144000 is an equidigital number, since it uses as much as digits as its factorization.

56574144144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40830 (or 40793 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 56574144144000 in words is "fifty-six trillion, five hundred seventy-four billion, one hundred forty-four million, one hundred forty-four thousand".