19161748096920 has 1152 divisors, whose sum is σ = 80945588243520. Its totient is φ = 4035656908800.

The previous prime is 19161748096913. The next prime is 19161748096957. The reversal of 19161748096920 is 2969084716191.

19161748096920 is a `hidden beast` number, since 1 + 9 + 1 + 61 + 7 + 480 + 9 + 6 + 92 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 259885660 + ... + 259959380.

Almost surely, 2^{19161748096920} is an apocalyptic number.

19161748096920 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 19161748096920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40472794121760).

19161748096920 is an abundant number, since it is smaller than the sum of its proper divisors (61783840146600).

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

19161748096920 is a wasteful number, since it uses less digits than its factorization.

19161748096920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73799 (or 73772 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The spelling of 19161748096920 in words is "nineteen trillion, one hundred sixty-one billion, seven hundred forty-eight million, ninety-six thousand, nine hundred twenty".