12531003315840 has 512 divisors, whose sum is σ = 44975141683200. Its totient is φ = 3338136023040.

The previous prime is 12531003315839. The next prime is 12531003315851. The reversal of 12531003315840 is 4851330013521.

12531003315840 is a `hidden beast` number, since 1 + 2 + 5 + 310 + 0 + 331 + 5 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12531003315795 and 12531003315804.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1529846145 + ... + 1529854335.

It is an arithmetic number, because the mean of its divisors is an integer number (87842073600).

Almost surely, 2^{12531003315840} is an apocalyptic number.

12531003315840 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 12531003315840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22487570841600).

12531003315840 is an abundant number, since it is smaller than the sum of its proper divisors (32444138367360).

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

12531003315840 is an frugal number, since it uses more digits than its factorization.

12531003315840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9324 (or 9294 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 12531003315840 in words is "twelve trillion, five hundred thirty-one billion, three million, three hundred fifteen thousand, eight hundred forty".