15005320400 has 120 divisors (see below), whose sum is σ = 42314136960. Its totient is φ = 5005601280.

The previous prime is 15005320397. The next prime is 15005320441. The reversal of 15005320400 is 402350051.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31181 + ... + 176019.

It is an arithmetic number, because the mean of its divisors is an integer number (352617808).

Almost surely, 2^15005320400 is an apocalyptic number.

15005320400 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 15005320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21157068480).

15005320400 is an abundant number, since it is smaller than the sum of its proper divisors (27308816560).

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

15005320400 is a wasteful number, since it uses less digits than its factorization.

15005320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144901 (or 144890 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

Adding to 15005320400 its reverse (402350051), we get a palindrome (15407670451).

The spelling of 15005320400 in words is "fifteen billion, five million, three hundred twenty thousand, four hundred".