15426127320912 has 960 divisors, whose sum is σ = 56226923151360. Its totient is φ = 3831316070400.

The previous prime is 15426127320889. The next prime is 15426127320937. The reversal of 15426127320912 is 21902372162451.

15426127320912 is a `hidden beast` number, since 1 + 5 + 4 + 2 + 612 + 7 + 3 + 20 + 9 + 1 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13663531164 + ... + 13663532292.

It is an arithmetic number, because the mean of its divisors is an integer number (58569711616).

Almost surely, 2^{15426127320912} is an apocalyptic number.

15426127320912 is a gapful number since it is divisible by the number (12) 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 15426127320912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28113461575680).

15426127320912 is an abundant number, since it is smaller than the sum of its proper divisors (40800795830448).

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

15426127320912 is a wasteful number, since it uses less digits than its factorization.

15426127320912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 15426127320912 in words is "fifteen trillion, four hundred twenty-six billion, one hundred twenty-seven million, three hundred twenty thousand, nine hundred twelve".