56819822976 has 1008 divisors, whose sum is σ = 214598286540. Its totient is φ = 14923948032.

The previous prime is 56819822971. The next prime is 56819823013. The reversal of 56819822976 is 67922891865.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (26127360) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56819822971) by changing a digit.

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 125 ways as a sum of consecutive naturals, for example, 1321391211 + ... + 1321391253.

Almost surely, 2^56819822976 is an apocalyptic number.

56819822976 is a gapful number since it is divisible by the number (56) 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 56819822976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107299143270).

56819822976 is an abundant number, since it is smaller than the sum of its proper divisors (157778463564).

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

56819822976 is an equidigital number, since it uses as much as digits as its factorization.

56819822976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 72 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The spelling of 56819822976 in words is "fifty-six billion, eight hundred nineteen million, eight hundred twenty-two thousand, nine hundred seventy-six".