12954720626400 has 1152 divisors, whose sum is σ = 50208836428800. Its totient is φ = 2899386040320.

The previous prime is 12954720626317. The next prime is 12954720626437. The reversal of 12954720626400 is 462602745921.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12954720626400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10644798592 + ... + 10644799808.

It is an arithmetic number, because the mean of its divisors is an integer number (43584059400).

Almost surely, 2^{12954720626400} is an apocalyptic number.

12954720626400 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 12954720626400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25104418214400).

12954720626400 is an abundant number, since it is smaller than the sum of its proper divisors (37254115802400).

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

12954720626400 is a wasteful number, since it uses less digits than its factorization.

12954720626400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 12954720626400 in words is "twelve trillion, nine hundred fifty-four billion, seven hundred twenty million, six hundred twenty-six thousand, four hundred".