16080690585600 has 672 divisors, whose sum is σ = 59457545336640. Its totient is φ = 4260640849920.

The previous prime is 16080690585599. The next prime is 16080690585613. The reversal of 16080690585600 is 658509608061.

It is a happy number.

16080690585600 is a `hidden beast` number, since 16 + 0 + 8 + 0 + 69 + 0 + 5 + 8 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 868137939 + ... + 868156461.

Almost surely, 2^{16080690585600} is an apocalyptic number.

16080690585600 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 16080690585600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29728772668320).

16080690585600 is an abundant number, since it is smaller than the sum of its proper divisors (43376854751040).

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

16080690585600 is a wasteful number, since it uses less digits than its factorization.

16080690585600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18725 (or 18690 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 16080690585600 in words is "sixteen trillion, eighty billion, six hundred ninety million, five hundred eighty-five thousand, six hundred".