12793368936576 has 512 divisors, whose sum is σ = 35602521292800. Its totient is φ = 4068104601600.

The previous prime is 12793368936547. The next prime is 12793368936587. The reversal of 12793368936576 is 67563986339721.

It is a super-2 number, since 2×12793368936576² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12793368936498 and 12793368936507.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47208003321 + ... + 47208003591.

It is an arithmetic number, because the mean of its divisors is an integer number (69536174400).

Almost surely, 2^{12793368936576} is an apocalyptic number.

12793368936576 is a gapful number since it is divisible by the number (16) 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 12793368936576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17801260646400).

12793368936576 is an abundant number, since it is smaller than the sum of its proper divisors (22809152356224).

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

12793368936576 is a wasteful number, since it uses less digits than its factorization.

12793368936576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 776 counting only the distinct ones).

The product of its digits is 1851776640, while the sum is 75.

The spelling of 12793368936576 in words is "twelve trillion, seven hundred ninety-three billion, three hundred sixty-eight million, nine hundred thirty-six thousand, five hundred seventy-six".