12953036093760 has 336 divisors, whose sum is σ = 51780785846400. Its totient is φ = 2910512443392.

The previous prime is 12953036093759. The next prime is 12953036093773. The reversal of 12953036093760 is 6739063035921.

12953036093760 is a `hidden beast` number, since 1 + 2 + 9 + 530 + 36 + 0 + 9 + 3 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×12953036093760² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12953036093697 and 12953036093706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4255575 + ... + 6634454.

Almost surely, 2^{12953036093760} is an apocalyptic number.

12953036093760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12953036093760 is an abundant number, since it is smaller than the sum of its proper divisors (38827749752640).

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

12953036093760 is a wasteful number, since it uses less digits than its factorization.

12953036093760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10890118 (or 10890105 counting only the distinct ones).

The product of its (nonzero) digits is 5511240, while the sum is 54.

The spelling of 12953036093760 in words is "twelve trillion, nine hundred fifty-three billion, thirty-six million, ninety-three thousand, seven hundred sixty".