13215098750976 has 576 divisors, whose sum is σ = 42635644047360. Its totient is φ = 4077480591360.

The previous prime is 13215098750957. The next prime is 13215098751017. The reversal of 13215098750976 is 67905789051231.

13215098750976 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 50 + 9 + 8 + 7 + 509 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 47 ways as a sum of consecutive naturals, for example, 354815811 + ... + 354853053.

It is an arithmetic number, because the mean of its divisors is an integer number (74020215360).

Almost surely, 2^{13215098750976} is an apocalyptic number.

13215098750976 is a gapful number since it is divisible by the number (16) 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 13215098750976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21317822023680).

13215098750976 is an abundant number, since it is smaller than the sum of its proper divisors (29420545296384).

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

13215098750976 is an equidigital number, since it uses as much as digits as its factorization.

13215098750976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37334 (or 37302 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 63.

The spelling of 13215098750976 in words is "thirteen trillion, two hundred fifteen billion, ninety-eight million, seven hundred fifty thousand, nine hundred seventy-six".