15480751104 has 660 divisors, whose sum is σ = 58110342444. Its totient is φ = 4068900864.

The previous prime is 15480751067. The next prime is 15480751127. The reversal of 15480751104 is 40115708451.

15480751104 is a `hidden beast` number, since 1 + 5 + 480 + 75 + 1 + 104 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8977941504 + 6502809600 = 94752^2 + 80640^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 52835182 + ... + 52835474.

Almost surely, 2^15480751104 is an apocalyptic number.

15480751104 is a gapful number since it is divisible by the number (14) 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 15480751104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29055171222).

15480751104 is an abundant number, since it is smaller than the sum of its proper divisors (42629591340).

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

15480751104 is a wasteful number, since it uses less digits than its factorization.

15480751104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 15480751104 in words is "fifteen billion, four hundred eighty million, seven hundred fifty-one thousand, one hundred four".