12531738240 has 384 divisors, whose sum is σ = 50472864000. Its totient is φ = 2863945728.

The previous prime is 12531738229. The next prime is 12531738257. The reversal of 12531738240 is 4283713521.

12531738240 is a `hidden beast` number, since 1 + 2 + 531 + 7 + 3 + 82 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 12531738195 and 12531738204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1972509 + ... + 1978851.

It is an arithmetic number, because the mean of its divisors is an integer number (131439750).

Almost surely, 2^12531738240 is an apocalyptic number.

12531738240 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 12531738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25236432000).

12531738240 is an abundant number, since it is smaller than the sum of its proper divisors (37941125760).

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

12531738240 is an equidigital number, since it uses as much as digits as its factorization.

12531738240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6389 (or 6360 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 12531738240 in words is "twelve billion, five hundred thirty-one million, seven hundred thirty-eight thousand, two hundred forty".