96876628992000 has 3584 divisors, whose sum is σ = 426617723750400. Its totient is φ = 21382299648000.

The previous prime is 96876628991977. The next prime is 96876628992007. The reversal of 96876628992000 is 29982667869.

It is a happy number.

96876628992000 is a `hidden beast` number, since 9 + 6 + 87 + 66 + 289 + 9 + 200 + 0 = 666.

It is a super-3 number, since 3×96876628992000³ (a number of 43 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 (72).

It is a self number, because there is not a number n which added to its sum of digits gives 96876628992000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96876628992007) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 423042047886 + ... + 423042048114.

It is an arithmetic number, because the mean of its divisors is an integer number (119033963100).

Almost surely, 2^{96876628992000} is an apocalyptic number.

96876628992000 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 96876628992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213308861875200).

96876628992000 is an abundant number, since it is smaller than the sum of its proper divisors (329741094758400).

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

96876628992000 is a wasteful number, since it uses less digits than its factorization.

96876628992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 96876628992000 in words is "ninety-six trillion, eight hundred seventy-six billion, six hundred twenty-eight million, nine hundred ninety-two thousand".