96047284788000 has 4608 divisors, whose sum is σ = 465351730421760. Its totient is φ = 18889633382400.

The previous prime is 96047284787957. The next prime is 96047284788137. The reversal of 96047284788000 is 88748274069.

96047284788000 is a `hidden beast` number, since 9 + 6 + 0 + 472 + 84 + 7 + 8 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 112599395574 + ... + 112599396426.

It is an arithmetic number, because the mean of its divisors is an integer number (100987788720).

Almost surely, 2^{96047284788000} is an apocalyptic number.

96047284788000 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 96047284788000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232675865210880).

96047284788000 is an abundant number, since it is smaller than the sum of its proper divisors (369304445633760).

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

96047284788000 is a wasteful number, since it uses less digits than its factorization.

96047284788000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 96047284788000 in words is "ninety-six trillion, forty-seven billion, two hundred eighty-four million, seven hundred eighty-eight thousand".