15005350400 has 120 divisors (see below), whose sum is σ = 37313135244. Its totient is φ = 5980160000.

The previous prime is 15005350369. The next prime is 15005350439. The reversal of 15005350400 is 405350051.

15005350400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 5167884544 + 9837465856 = 71888^2 + 99184^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3748400 + ... + 3752400.

Almost surely, 2^15005350400 is an apocalyptic number.

15005350400 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 15005350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18656567622).

15005350400 is an abundant number, since it is smaller than the sum of its proper divisors (22307784844).

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

15005350400 is an equidigital number, since it uses as much as digits as its factorization.

15005350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4322 (or 4301 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The spelling of 15005350400 in words is "fifteen billion, five million, three hundred fifty thousand, four hundred".