12623957892000 has 3456 divisors, whose sum is σ = 59588132018688. Its totient is φ = 2554509312000.

The previous prime is 12623957891989. The next prime is 12623957892031. The reversal of 12623957892000 is 29875932621.

12623957892000 is a `hidden beast` number, since 1 + 2 + 62 + 3 + 9 + 578 + 9 + 2 + 0 + 0 + 0 = 666.

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 575 ways as a sum of consecutive naturals, for example, 213965387971 + ... + 213965388029.

It is an arithmetic number, because the mean of its divisors is an integer number (17241936348).

Almost surely, 2^{12623957892000} is an apocalyptic number.

12623957892000 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 12623957892000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29794066009344).

12623957892000 is an abundant number, since it is smaller than the sum of its proper divisors (46964174126688).

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

12623957892000 is an equidigital number, since it uses as much as digits as its factorization.

12623957892000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 12623957892000 in words is "twelve trillion, six hundred twenty-three billion, nine hundred fifty-seven million, eight hundred ninety-two thousand".