12435509253104 has 40 divisors (see below), whose sum is σ = 27867526780800. Its totient is φ = 5265293070528.

The previous prime is 12435509253061. The next prime is 12435509253113. The reversal of 12435509253104 is 40135290553421.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 668854154 + ... + 668872745.

It is an arithmetic number, because the mean of its divisors is an integer number (696688169520).

Almost surely, 2^{12435509253104} is an apocalyptic number.

12435509253104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12435509253104 is an abundant number, since it is smaller than the sum of its proper divisors (15432017527696).

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

12435509253104 is a wasteful number, since it uses less digits than its factorization.

12435509253104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337726997 (or 1337726991 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 44.

The spelling of 12435509253104 in words is "twelve trillion, four hundred thirty-five billion, five hundred nine million, two hundred fifty-three thousand, one hundred four".