12635379870480 has 200 divisors, whose sum is σ = 46465990497432. Its totient is φ = 3171232567296.

The previous prime is 12635379870479. The next prime is 12635379870569. The reversal of 12635379870480 is 8407897353621.

12635379870480 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 5 + 3 + 79 + 87 + 0 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 806375264256 + 11829004606224 = 897984^2 + 3439332^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 57239967 + ... + 57460286.

It is a 1-persistent number, because it is pandigital, but 2⋅12635379870480 = 25270759740960 is not.

Almost surely, 2^{12635379870480} is an apocalyptic number.

12635379870480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12635379870480 is an abundant number, since it is smaller than the sum of its proper divisors (33830610626952).

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

12635379870480 is a wasteful number, since it uses less digits than its factorization.

12635379870480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114700295 (or 114700280 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 12635379870480 in words is "twelve trillion, six hundred thirty-five billion, three hundred seventy-nine million, eight hundred seventy thousand, four hundred eighty".