96261333120 has 320 divisors, whose sum is σ = 363991498200. Its totient is φ = 24159485952.

The previous prime is 96261333071. The next prime is 96261333151. The reversal of 96261333120 is 2133316269.

It is a happy number.

96261333120 is a `hidden beast` number, since 9 + 6 + 2 + 613 + 3 + 31 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 94475087424 + 1786245696 = 307368^2 + 42264^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 826666 + ... + 935894.

Almost surely, 2^96261333120 is an apocalyptic number.

96261333120 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 96261333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181995749100).

96261333120 is an abundant number, since it is smaller than the sum of its proper divisors (267730165080).

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

96261333120 is a wasteful number, since it uses less digits than its factorization.

96261333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109277 (or 109256 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

Adding to 96261333120 its reverse (2133316269), we get a palindrome (98394649389).

The spelling of 96261333120 in words is "ninety-six billion, two hundred sixty-one million, three hundred thirty-three thousand, one hundred twenty".