15891265152 has 256 divisors, whose sum is σ = 53925523200. Its totient is φ = 4512927744.

The previous prime is 15891265097. The next prime is 15891265157. The reversal of 15891265152 is 25156219851.

15891265152 is a `hidden beast` number, since 1 + 5 + 8 + 9 + 126 + 515 + 2 = 666.

Its product of digits (216000) is a multiple of the sum of its prime factors (4000).

It is a junction number, because it is equal to n+sod(n) for n = 15891265098 and 15891265107.

It is not an unprimeable number, because it can be changed into a prime (15891265157) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4183318 + ... + 4187114.

It is an arithmetic number, because the mean of its divisors is an integer number (210646575).

Almost surely, 2^15891265152 is an apocalyptic number.

15891265152 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 15891265152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26962761600).

15891265152 is an abundant number, since it is smaller than the sum of its proper divisors (38034258048).

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

15891265152 is a wasteful number, since it uses less digits than its factorization.

15891265152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4000 (or 3982 counting only the distinct ones).

The product of its digits is 216000, while the sum is 45.

The spelling of 15891265152 in words is "fifteen billion, eight hundred ninety-one million, two hundred sixty-five thousand, one hundred fifty-two".