96878658868992 has 1728 divisors, whose sum is σ = 387888658440192. Its totient is φ = 22434693120000.

The previous prime is 96878658868969. The next prime is 96878658868993. The reversal of 96878658868992 is 29986885687869.

96878658868992 is a `hidden beast` number, since 9 + 6 + 8 + 7 + 8 + 6 + 588 + 6 + 8 + 9 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (99).

It is a junction number, because it is equal to n+sod(n) for n = 96878658868893 and 96878658868902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96878658868993) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 50118291258 + ... + 50118293190.

It is an arithmetic number, because the mean of its divisors is an integer number (224472603264).

Almost surely, 2^{96878658868992} 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 96878658868992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193944329220096).

96878658868992 is an abundant number, since it is smaller than the sum of its proper divisors (291009999571200).

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

96878658868992 is a wasteful number, since it uses less digits than its factorization.

96878658868992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2718 (or 2701 counting only the distinct ones).

The product of its digits is 361184624640, while the sum is 99.

The spelling of 96878658868992 in words is "ninety-six trillion, eight hundred seventy-eight billion, six hundred fifty-eight million, eight hundred sixty-eight thousand, nine hundred ninety-two".