15906402243072 has 480 divisors, whose sum is σ = 50695668840960. Its totient is φ = 4761171394560.

The previous prime is 15906402243023. The next prime is 15906402243091. The reversal of 15906402243072 is 27034220460951.

15906402243072 is a `hidden beast` number, since 1 + 5 + 90 + 6 + 40 + 22 + 430 + 72 = 666.

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 47 ways as a sum of consecutive naturals, for example, 1861918033 + ... + 1861926575.

It is an arithmetic number, because the mean of its divisors is an integer number (105615976752).

Almost surely, 2^{15906402243072} is an apocalyptic number.

15906402243072 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 15906402243072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25347834420480).

15906402243072 is an abundant number, since it is smaller than the sum of its proper divisors (34789266597888).

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

15906402243072 is a wasteful number, since it uses less digits than its factorization.

15906402243072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9024 (or 9005 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 15906402243072 in words is "fifteen trillion, nine hundred six billion, four hundred two million, two hundred forty-three thousand, seventy-two".