15399204710400 has 2016 divisors, whose sum is σ = 69291081961920. Its totient is φ = 3311814574080.

The previous prime is 15399204710339. The next prime is 15399204710437. The reversal of 15399204710400 is 401740299351.

15399204710400 is a `hidden beast` number, since 1 + 5 + 39 + 9 + 204 + 7 + 1 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 4441649467 + ... + 4441652933.

It is an arithmetic number, because the mean of its divisors is an integer number (34370576370).

Almost surely, 2^{15399204710400} is an apocalyptic number.

15399204710400 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 15399204710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34645540980960).

15399204710400 is an abundant number, since it is smaller than the sum of its proper divisors (53891877251520).

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

15399204710400 is an equidigital number, since it uses as much as digits as its factorization.

15399204710400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3541 (or 3501 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 15399204710400 in words is "fifteen trillion, three hundred ninety-nine billion, two hundred four million, seven hundred ten thousand, four hundred".