15480904032 has 672 divisors, whose sum is σ = 54100037376. Its totient is φ = 4311014400.

The previous prime is 15480904027. The next prime is 15480904051. The reversal of 15480904032 is 23040908451.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 253785282 + ... + 253785342.

It is an arithmetic number, because the mean of its divisors is an integer number (80506008).

Almost surely, 2^15480904032 is an apocalyptic number.

15480904032 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 15480904032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27050018688).

15480904032 is an abundant number, since it is smaller than the sum of its proper divisors (38619133344).

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

15480904032 is a wasteful number, since it uses less digits than its factorization.

15480904032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 15480904032 in words is "fifteen billion, four hundred eighty million, nine hundred four thousand, thirty-two".