15128416768104 has 1024 divisors, whose sum is σ = 47471447347200. Its totient is φ = 4499758448640.

The previous prime is 15128416768039. The next prime is 15128416768109. The reversal of 15128416768104 is 40186761482151.

15128416768104 is a `hidden beast` number, since 1 + 51 + 2 + 8 + 416 + 76 + 8 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (15128416768109) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 96359342394 + ... + 96359342550.

It is an arithmetic number, because the mean of its divisors is an integer number (46358835300).

Almost surely, 2^{15128416768104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15128416768104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23735723673600).

15128416768104 is an abundant number, since it is smaller than the sum of its proper divisors (32343030579096).

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

15128416768104 is a wasteful number, since it uses less digits than its factorization.

15128416768104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 15128416768104 in words is "fifteen trillion, one hundred twenty-eight billion, four hundred sixteen million, seven hundred sixty-eight thousand, one hundred four".