16615251607680 has 768 divisors, whose sum is σ = 66120451113600. Its totient is φ = 3802285670400.

The previous prime is 16615251607649. The next prime is 16615251607751. The reversal of 16615251607680 is 8670615251661.

16615251607680 is a `hidden beast` number, since 1 + 6 + 6 + 1 + 5 + 25 + 1 + 607 + 6 + 8 + 0 = 666.

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, 338254482 + ... + 338303598.

Almost surely, 2^{16615251607680} is an apocalyptic number.

16615251607680 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 16615251607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33060225556800).

16615251607680 is an abundant number, since it is smaller than the sum of its proper divisors (49505199505920).

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

16615251607680 is a wasteful number, since it uses less digits than its factorization.

16615251607680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49453 (or 49438 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 16615251607680 in words is "sixteen trillion, six hundred fifteen billion, two hundred fifty-one million, six hundred seven thousand, six hundred eighty".