19920011417856 has 729 divisors, whose sum is σ = 64542650633643. Its totient is φ = 5904256849920.

The previous prime is 19920011417809. The next prime is 19920011417923. The reversal of 19920011417856 is 65871411002991.

The square root of 19920011417856 is 4463184.

It is a perfect power (a square), and thus also a powerful number.

19920011417856 is a `hidden beast` number, since 1 + 9 + 9 + 200 + 11 + 417 + 8 + 5 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 186168330955 + ... + 186168331061.

Almost surely, 2^{19920011417856} is an apocalyptic number.

19920011417856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

19920011417856 is the 4463184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19920011417856

19920011417856 is an abundant number, since it is smaller than the sum of its proper divisors (44622639215787).

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

19920011417856 is an equidigital number, since it uses as much as digits as its factorization.

19920011417856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The spelling of 19920011417856 in words is "nineteen trillion, nine hundred twenty billion, eleven million, four hundred seventeen thousand, eight hundred fifty-six".