15104400000 has 384 divisors, whose sum is σ = 51538576320. Its totient is φ = 3916800000.

The previous prime is 15104399977. The next prime is 15104400007. The reversal of 15104400000 is 440151.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (15104400007) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 49199847 + ... + 49200153.

Almost surely, 2^15104400000 is an apocalyptic number.

15104400000 is a gapful number since it is divisible by the number (10) 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 15104400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25769288160).

15104400000 is an abundant number, since it is smaller than the sum of its proper divisors (36434176320).

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

15104400000 is an frugal number, since it uses more digits than its factorization.

15104400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 15104400000 its reverse (440151), we get a palindrome (15104840151).

The spelling of 15104400000 in words is "fifteen billion, one hundred four million, four hundred thousand".