15000230400 has 240 divisors, whose sum is σ = 51154844928. Its totient is φ = 3870720000.

The previous prime is 15000230389. The next prime is 15000230407. The reversal of 15000230400 is 403200051.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a self number, because there is not a number n which added to its sum of digits gives 15000230400.

It is not an unprimeable number, because it can be changed into a prime (15000230407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1184100 + ... + 1196700.

Almost surely, 2^15000230400 is an apocalyptic number.

15000230400 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 15000230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25577422464).

15000230400 is an abundant number, since it is smaller than the sum of its proper divisors (36154614528).

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

15000230400 is a wasteful number, since it uses less digits than its factorization.

15000230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12663 (or 12642 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

Adding to 15000230400 its reverse (403200051), we get a palindrome (15403430451).

The spelling of 15000230400 in words is "fifteen billion, two hundred thirty thousand, four hundred".