56738340104160 has 768 divisors, whose sum is σ = 217311289509888. Its totient is φ = 12259255910400.

The previous prime is 56738340104153. The next prime is 56738340104227. The reversal of 56738340104160 is 6140104383765.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 272877357 + ... + 273085203.

It is an arithmetic number, because the mean of its divisors is an integer number (282957408216).

Almost surely, 2^{56738340104160} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56738340104160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108655644754944).

56738340104160 is an abundant number, since it is smaller than the sum of its proper divisors (160572949405728).

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

56738340104160 is a wasteful number, since it uses less digits than its factorization.

56738340104160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208027 (or 208019 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 56738340104160 in words is "fifty-six trillion, seven hundred thirty-eight billion, three hundred forty million, one hundred four thousand, one hundred sixty".