12693931355952 has 320 divisors, whose sum is σ = 45446355532800. Its totient is φ = 3295724267520.

The previous prime is 12693931355899. The next prime is 12693931355977. The reversal of 12693931355952 is 25955313939621.

It is a happy number.

12693931355952 is a `hidden beast` number, since 1 + 2 + 6 + 9 + 3 + 9 + 3 + 1 + 35 + 595 + 2 = 666.

It is a super-2 number, since 2×12693931355952² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 12693931355952.

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, 79387828 + ... + 79547564.

It is an arithmetic number, because the mean of its divisors is an integer number (142019861040).

Almost surely, 2^{12693931355952} is an apocalyptic number.

12693931355952 is a gapful number since it is divisible by the number (12) 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 12693931355952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22723177766400).

12693931355952 is an abundant number, since it is smaller than the sum of its proper divisors (32752424176848).

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

12693931355952 is a wasteful number, since it uses less digits than its factorization.

12693931355952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162161 (or 162149 counting only the distinct ones).

The product of its digits is 59049000, while the sum is 63.

The spelling of 12693931355952 in words is "twelve trillion, six hundred ninety-three billion, nine hundred thirty-one million, three hundred fifty-five thousand, nine hundred fifty-two".