12457939459680 has 576 divisors, whose sum is σ = 49979314344960. Its totient is φ = 2785876070400.

The previous prime is 12457939459643. The next prime is 12457939459697. The reversal of 12457939459680 is 8695493975421.

12457939459680 is a `hidden beast` number, since 1 + 2 + 4 + 5 + 7 + 93 + 9 + 459 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 12457939459599 and 12457939459608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 311125101 + ... + 311165139.

It is an arithmetic number, because the mean of its divisors is an integer number (86769642960).

It is a 2-persistent number, because it is pandigital, and so is 2⋅12457939459680 = 24915878919360, but 3⋅12457939459680 = 37373818379040 is not.

Almost surely, 2^{12457939459680} is an apocalyptic number.

12457939459680 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 12457939459680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24989657172480).

12457939459680 is an abundant number, since it is smaller than the sum of its proper divisors (37521374885280).

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

12457939459680 is a wasteful number, since it uses less digits than its factorization.

12457939459680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41595 (or 41584 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 72.

The spelling of 12457939459680 in words is "twelve trillion, four hundred fifty-seven billion, nine hundred thirty-nine million, four hundred fifty-nine thousand, six hundred eighty".