15305150016 has 224 divisors, whose sum is σ = 48700131200. Its totient is φ = 4685506560.

The previous prime is 15305149991. The next prime is 15305150023. The reversal of 15305150016 is 61005150351.

15305150016 is a `hidden beast` number, since 153 + 0 + 5 + 1 + 500 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 4738290 + ... + 4741518.

It is an arithmetic number, because the mean of its divisors is an integer number (217411300).

Almost surely, 2^15305150016 is an apocalyptic number.

15305150016 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 15305150016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24350065600).

15305150016 is an abundant number, since it is smaller than the sum of its proper divisors (33394981184).

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

15305150016 is a wasteful number, since it uses less digits than its factorization.

15305150016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3474 (or 3458 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The spelling of 15305150016 in words is "fifteen billion, three hundred five million, one hundred fifty thousand, sixteen".