96876622080 has 540 divisors, whose sum is σ = 403258072140. Its totient is φ = 22142066688.

The previous prime is 96876622079. The next prime is 96876622097. The reversal of 96876622080 is 8022667869.

96876622080 is a `hidden beast` number, since 9 + 6 + 8 + 7 + 6 + 622 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 74620756224 + 22255865856 = 273168^2 + 149184^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×96876622080² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5070786 + ... + 5089854.

Almost surely, 2^96876622080 is an apocalyptic number.

96876622080 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 96876622080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201629036070).

96876622080 is an abundant number, since it is smaller than the sum of its proper divisors (306381450060).

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

96876622080 is a wasteful number, since it uses less digits than its factorization.

96876622080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19116 (or 19086 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 96876622080 in words is "ninety-six billion, eight hundred seventy-six million, six hundred twenty-two thousand, eighty".