15057680196816 has 120 divisors (see below), whose sum is σ = 42552562890240. Its totient is φ = 4970164647168.

The previous prime is 15057680196803. The next prime is 15057680196899. The reversal of 15057680196816 is 61869108675051.

15057680196816 is a `hidden beast` number, since 1 + 50 + 576 + 8 + 0 + 1 + 9 + 6 + 8 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 331724650 + ... + 331770038.

It is an arithmetic number, because the mean of its divisors is an integer number (354604690752).

Almost surely, 2^{15057680196816} is an apocalyptic number.

15057680196816 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 15057680196816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21276281445120).

15057680196816 is an abundant number, since it is smaller than the sum of its proper divisors (27494882693424).

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

15057680196816 is a wasteful number, since it uses less digits than its factorization.

15057680196816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67873 (or 67864 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 63.

The spelling of 15057680196816 in words is "fifteen trillion, fifty-seven billion, six hundred eighty million, one hundred ninety-six thousand, eight hundred sixteen".