96949365120 has 384 divisors, whose sum is σ = 341336268000. Its totient is φ = 25351618560.

The previous prime is 96949365113. The next prime is 96949365151. The reversal of 96949365120 is 2156394969.

96949365120 is a `hidden beast` number, since 9 + 6 + 94 + 9 + 36 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×96949365120² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 71233240 + ... + 71234600.

Almost surely, 2^96949365120 is an apocalyptic number.

96949365120 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 96949365120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170668134000).

96949365120 is an abundant number, since it is smaller than the sum of its proper divisors (244386902880).

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

96949365120 is a wasteful number, since it uses less digits than its factorization.

96949365120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 96949365120 in words is "ninety-six billion, nine hundred forty-nine million, three hundred sixty-five thousand, one hundred twenty".