96995782800 has 1680 divisors, whose sum is σ = 437627406720. Its totient is φ = 20155392000.

The previous prime is 96995782799. The next prime is 96995782847. The reversal of 96995782800 is 828759969.

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 polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1590094770 + ... + 1590094830.

It is an arithmetic number, because the mean of its divisors is an integer number (260492504).

Almost surely, 2^96995782800 is an apocalyptic number.

96995782800 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 96995782800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218813703360).

96995782800 is an abundant number, since it is smaller than the sum of its proper divisors (340631623920).

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

96995782800 is a wasteful number, since it uses less digits than its factorization.

96995782800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 96995782800 in words is "ninety-six billion, nine hundred ninety-five million, seven hundred eighty-two thousand, eight hundred".