56973067134984 has 2304 divisors, whose sum is σ = 226956945600000. Its totient is φ = 13099991224320.

The previous prime is 56973067134967. The next prime is 56973067134989. The reversal of 56973067134984 is 48943176037965.

56973067134984 is a `hidden beast` number, since 5 + 6 + 9 + 73 + 0 + 67 + 1 + 3 + 498 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (56973067134989) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 95113634317 + ... + 95113634915.

It is an arithmetic number, because the mean of its divisors is an integer number (98505618750).

Almost surely, 2^{56973067134984} is an apocalyptic number.

56973067134984 is a gapful number since it is divisible by the number (54) 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 56973067134984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113478472800000).

56973067134984 is an abundant number, since it is smaller than the sum of its proper divisors (169983878465016).

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

56973067134984 is a wasteful number, since it uses less digits than its factorization.

56973067134984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 72.

The spelling of 56973067134984 in words is "fifty-six trillion, nine hundred seventy-three billion, sixty-seven million, one hundred thirty-four thousand, nine hundred eighty-four".