96895673280 has 1680 divisors, whose sum is σ = 435913353216. Its totient is φ = 20309667840.

The previous prime is 96895673267. The next prime is 96895673327. The reversal of 96895673280 is 8237659869.

96895673280 is a `hidden beast` number, since 9 + 68 + 9 + 567 + 3 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 905566987 + ... + 905567093.

Almost surely, 2^96895673280 is an apocalyptic number.

96895673280 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 96895673280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217956676608).

96895673280 is an abundant number, since it is smaller than the sum of its proper divisors (339017679936).

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

96895673280 is a wasteful number, since it uses less digits than its factorization.

96895673280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 96895673280 in words is "ninety-six billion, eight hundred ninety-five million, six hundred seventy-three thousand, two hundred eighty".