56782313099512 has 768 divisors, whose sum is σ = 148883756313600. Its totient is φ = 19746970214400.

The previous prime is 56782313099467. The next prime is 56782313099527. The reversal of 56782313099512 is 21599031328765.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 138832061164 + ... + 138832061572.

It is an arithmetic number, because the mean of its divisors is an integer number (193859057700).

Almost surely, 2^{56782313099512} is an apocalyptic number.

56782313099512 is a gapful number since it is divisible by the number (52) 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 56782313099512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74441878156800).

56782313099512 is an abundant number, since it is smaller than the sum of its proper divisors (92101443214088).

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

56782313099512 is a wasteful number, since it uses less digits than its factorization.

56782313099512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 61.

The spelling of 56782313099512 in words is "fifty-six trillion, seven hundred eighty-two billion, three hundred thirteen million, ninety-nine thousand, five hundred twelve".