12358972256400 has 3600 divisors, whose sum is σ = 59770502871552. Its totient is φ = 2414168064000.

The previous prime is 12358972256353. The next prime is 12358972256401. The reversal of 12358972256400 is 465227985321.

12358972256400 is a `hidden beast` number, since 1 + 2 + 3 + 5 + 8 + 9 + 7 + 225 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12358972256401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 20030748892 + ... + 20030749508.

It is a 1-persistent number, because it is pandigital, but 2⋅12358972256400 = 24717944512800 is not.

Almost surely, 2^{12358972256400} is an apocalyptic number.

12358972256400 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 12358972256400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29885251435776).

12358972256400 is an abundant number, since it is smaller than the sum of its proper divisors (47411530615152).

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

12358972256400 is a wasteful number, since it uses less digits than its factorization.

12358972256400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 12358972256400 in words is "twelve trillion, three hundred fifty-eight billion, nine hundred seventy-two million, two hundred fifty-six thousand, four hundred".