15997289625072 has 640 divisors, whose sum is σ = 54599248281600. Its totient is φ = 4389296947200.

The previous prime is 15997289625041. The next prime is 15997289625101. The reversal of 15997289625072 is 27052698279951.

15997289625072 is a `hidden beast` number, since 1 + 5 + 9 + 9 + 7 + 28 + 96 + 2 + 507 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 127 ways as a sum of consecutive naturals, for example, 7578061297 + ... + 7578063407.

It is an arithmetic number, because the mean of its divisors is an integer number (85311325440).

Almost surely, 2^{15997289625072} is an apocalyptic number.

15997289625072 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 15997289625072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27299624140800).

15997289625072 is an abundant number, since it is smaller than the sum of its proper divisors (38601958656528).

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

15997289625072 is a wasteful number, since it uses less digits than its factorization.

15997289625072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3022 (or 3010 counting only the distinct ones).

The product of its (nonzero) digits is 342921600, while the sum is 72.

The spelling of 15997289625072 in words is "fifteen trillion, nine hundred ninety-seven billion, two hundred eighty-nine million, six hundred twenty-five thousand, seventy-two".