15897253105152 has 240 divisors, whose sum is σ = 46564356833280. Its totient is φ = 5220227174400.

The previous prime is 15897253105147. The next prime is 15897253105163. The reversal of 15897253105152 is 25150135279851.

15897253105152 is a `hidden beast` number, since 1 + 5 + 8 + 9 + 7 + 2 + 531 + 0 + 51 + 52 = 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 23 ways as a sum of consecutive naturals, for example, 418428877 + ... + 418466867.

It is an arithmetic number, because the mean of its divisors is an integer number (194018153472).

Almost surely, 2^{15897253105152} is an apocalyptic number.

15897253105152 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 15897253105152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23282178416640).

15897253105152 is an abundant number, since it is smaller than the sum of its proper divisors (30667103728128).

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

15897253105152 is a wasteful number, since it uses less digits than its factorization.

15897253105152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39365 (or 39346 counting only the distinct ones).

The product of its (nonzero) digits is 3780000, while the sum is 54.

The spelling of 15897253105152 in words is "fifteen trillion, eight hundred ninety-seven billion, two hundred fifty-three million, one hundred five thousand, one hundred fifty-two".