15283113696000 has 864 divisors, whose sum is σ = 60385103408448. Its totient is φ = 3835728691200.

The previous prime is 15283113695981. The next prime is 15283113696029. The reversal of 15283113696000 is 69631138251.

15283113696000 is a `hidden beast` number, since 1 + 5 + 2 + 8 + 3 + 1 + 1 + 36 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

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, 132134194 + ... + 132249806.

It is an arithmetic number, because the mean of its divisors is an integer number (69890165982).

Almost surely, 2^{15283113696000} is an apocalyptic number.

15283113696000 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 15283113696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30192551704224).

15283113696000 is an abundant number, since it is smaller than the sum of its proper divisors (45101989712448).

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

15283113696000 is an equidigital number, since it uses as much as digits as its factorization.

15283113696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115676 (or 115640 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 15283113696000 in words is "fifteen trillion, two hundred eighty-three billion, one hundred thirteen million, six hundred ninety-six thousand".