12458687640 has 128 divisors (see below), whose sum is σ = 42971765760. Its totient is φ = 2830616064.

The previous prime is 12458687629. The next prime is 12458687701. The reversal of 12458687640 is 4678685421.

12458687640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12458687640² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95874 + ... + 184686.

It is an arithmetic number, because the mean of its divisors is an integer number (335716920).

Almost surely, 2^12458687640 is an apocalyptic number.

12458687640 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 12458687640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21485882880).

12458687640 is an abundant number, since it is smaller than the sum of its proper divisors (30513078120).

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

12458687640 is a wasteful number, since it uses less digits than its factorization.

12458687640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89001 (or 88997 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

It can be divided in two parts, 124586 and 87640, that added together give a triangular number (212226 = T₆₅₁).

The spelling of 12458687640 in words is "twelve billion, four hundred fifty-eight million, six hundred eighty-seven thousand, six hundred forty".