56904447936000 has 1920 divisors, whose sum is σ = 241754830986240. Its totient is φ = 11785568256000.

The previous prime is 56904447935999. The next prime is 56904447936047. The reversal of 56904447936000 is 63974440965.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4111289080 + ... + 4111302920.

It is an arithmetic number, because the mean of its divisors is an integer number (125913974472).

Almost surely, 2^{56904447936000} is an apocalyptic number.

56904447936000 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 56904447936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120877415493120).

56904447936000 is an abundant number, since it is smaller than the sum of its proper divisors (184850383050240).

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

56904447936000 is a wasteful number, since it uses less digits than its factorization.

56904447936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13933 (or 13900 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 57.

The spelling of 56904447936000 in words is "fifty-six trillion, nine hundred four billion, four hundred forty-seven million, nine hundred thirty-six thousand".