12508839383040 has 4160 divisors, whose sum is σ = 62404027564032. Its totient is φ = 2321901158400.

The previous prime is 12508839383021. The next prime is 12508839383093. The reversal of 12508839383040 is 4038393880521.

12508839383040 is a `hidden beast` number, since 1 + 2 + 508 + 8 + 3 + 93 + 8 + 3 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (4160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 403510947825 + ... + 403510947855.

Almost surely, 2^{12508839383040} is an apocalyptic number.

12508839383040 is a gapful number since it is divisible by the number (10) 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 12508839383040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31202013782016).

12508839383040 is an abundant number, since it is smaller than the sum of its proper divisors (49895188180992).

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

12508839383040 is an frugal number, since it uses more digits than its factorization.

12508839383040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 12508839383040 in words is "twelve trillion, five hundred eight billion, eight hundred thirty-nine million, three hundred eighty-three thousand, forty".