12488807835504 has 2160 divisors, whose sum is σ = 50339391822720. Its totient is φ = 2962476840960.

The previous prime is 12488807835463. The next prime is 12488807835523. The reversal of 12488807835504 is 40553870888421.

12488807835504 is a `hidden beast` number, since 1 + 2 + 4 + 8 + 8 + 8 + 0 + 78 + 3 + 550 + 4 = 666.

It is a super-2 number, since 2×12488807835504² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 63394963534 + ... + 63394963730.

It is an arithmetic number, because the mean of its divisors is an integer number (23305273992).

Almost surely, 2^{12488807835504} is an apocalyptic number.

12488807835504 is a gapful number since it is divisible by the number (14) 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 12488807835504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25169695911360).

12488807835504 is an abundant number, since it is smaller than the sum of its proper divisors (37850583987216).

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

12488807835504 is a wasteful number, since it uses less digits than its factorization.

12488807835504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 68812800, while the sum is 63.

The spelling of 12488807835504 in words is "twelve trillion, four hundred eighty-eight billion, eight hundred seven million, eight hundred thirty-five thousand, five hundred four".