961099176000 has 224 divisors, whose sum is σ = 3174586122240. Its totient is φ = 256209408000.

The previous prime is 961099175989. The next prime is 961099176043. The reversal of 961099176000 is 671990169.

It is a super-3 number, since 3×961099176000³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117331905 + ... + 117340095.

Almost surely, 2^961099176000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961099176000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587293061120).

961099176000 is an abundant number, since it is smaller than the sum of its proper divisors (2213486946240).

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

961099176000 is a wasteful number, since it uses less digits than its factorization.

961099176000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13110 (or 13090 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 48.

The spelling of 961099176000 in words is "nine hundred sixty-one billion, ninety-nine million, one hundred seventy-six thousand".