15380252310096 has 160 divisors (see below), whose sum is σ = 45069984086400. Its totient is φ = 5020244213760.

The previous prime is 15380252310067. The next prime is 15380252310107. The reversal of 15380252310096 is 69001325208351.

15380252310096 is a `hidden beast` number, since 1 + 5 + 3 + 80 + 252 + 310 + 0 + 9 + 6 = 666.

It is a super-2 number, since 2×15380252310096² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5376426 + ... + 7724406.

It is an arithmetic number, because the mean of its divisors is an integer number (281687400540).

Almost surely, 2^{15380252310096} is an apocalyptic number.

15380252310096 is a gapful number since it is divisible by the number (16) 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 15380252310096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22534992043200).

15380252310096 is an abundant number, since it is smaller than the sum of its proper divisors (29689731776304).

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

15380252310096 is a wasteful number, since it uses less digits than its factorization.

15380252310096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2348314 (or 2348302 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 15380252310096 in words is "fifteen trillion, three hundred eighty billion, two hundred fifty-two million, three hundred ten thousand, ninety-six".