96161045020920 has 1280 divisors, whose sum is σ = 374429563200000. Its totient is φ = 21890233774080.

The previous prime is 96161045020919. The next prime is 96161045020927. The reversal of 96161045020920 is 2902054016169.

96161045020920 is a `hidden beast` number, since 9 + 6 + 1 + 610 + 4 + 5 + 0 + 2 + 0 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96161045020927) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 76378907251 + ... + 76378908509.

It is an arithmetic number, because the mean of its divisors is an integer number (292523096250).

Almost surely, 2^{96161045020920} is an apocalyptic number.

96161045020920 is a gapful number since it is divisible by the number (90) 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 96161045020920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187214781600000).

96161045020920 is an abundant number, since it is smaller than the sum of its proper divisors (278268518179080).

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

96161045020920 is a wasteful number, since it uses less digits than its factorization.

96161045020920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218 (or 2205 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 96161045020920 in words is "ninety-six trillion, one hundred sixty-one billion, forty-five million, twenty thousand, nine hundred twenty".