15000959400000 has 672 divisors, whose sum is σ = 56943472884480. Its totient is φ = 3413852160000.

The previous prime is 15000959399989. The next prime is 15000959400029. The reversal of 15000959400000 is 495900051.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 978592336 + ... + 978607664.

It is an arithmetic number, because the mean of its divisors is an integer number (84737310840).

Almost surely, 2^{15000959400000} is an apocalyptic number.

15000959400000 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 15000959400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28471736442240).

15000959400000 is an abundant number, since it is smaller than the sum of its proper divisors (41942513484480).

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

15000959400000 is an equidigital number, since it uses as much as digits as its factorization.

15000959400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15609 (or 15579 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 33.

The spelling of 15000959400000 in words is "fifteen trillion, nine hundred fifty-nine million, four hundred thousand".