56009035031760 has 640 divisors, whose sum is σ = 206872787865600. Its totient is φ = 13885997598720.

The previous prime is 56009035031723. The next prime is 56009035031797. The reversal of 56009035031760 is 6713053090065.

56009035031760 is a `hidden beast` number, since 5 + 600 + 9 + 0 + 3 + 5 + 0 + 31 + 7 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56009035031723) and next prime (56009035031797).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1108998669 + ... + 1109049171.

It is an arithmetic number, because the mean of its divisors is an integer number (323238731040).

Almost surely, 2^{56009035031760} 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 56009035031760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103436393932800).

56009035031760 is an abundant number, since it is smaller than the sum of its proper divisors (150863752833840).

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

56009035031760 is a wasteful number, since it uses less digits than its factorization.

56009035031760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51048 (or 51036 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The spelling of 56009035031760 in words is "fifty-six trillion, nine billion, thirty-five million, thirty-one thousand, seven hundred sixty".