15050966347872 has 864 divisors, whose sum is σ = 55443149352864. Its totient is φ = 3836270592000.

The previous prime is 15050966347799. The next prime is 15050966347909. The reversal of 15050966347872 is 27874366905051.

15050966347872 is a `hidden beast` number, since 1 + 5 + 0 + 5 + 0 + 96 + 6 + 3 + 478 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 804812122 + ... + 804830822.

It is an arithmetic number, because the mean of its divisors is an integer number (64170311751).

It is a 1-persistent number, because it is pandigital, but 2⋅15050966347872 = 30101932695744 is not.

Almost surely, 2^{15050966347872} is an apocalyptic number.

15050966347872 is a gapful number since it is divisible by the number (12) 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 15050966347872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27721574676432).

15050966347872 is an abundant number, since it is smaller than the sum of its proper divisors (40392183004992).

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

15050966347872 is a wasteful number, since it uses less digits than its factorization.

15050966347872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18892 (or 18874 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 15050966347872 in words is "fifteen trillion, fifty billion, nine hundred sixty-six million, three hundred forty-seven thousand, eight hundred seventy-two".