96785270400 has 1920 divisors, whose sum is σ = 446380804800. Its totient is φ = 18207866880.

The previous prime is 96785270399. The next prime is 96785270401. The reversal of 96785270400 is 407258769.

It is an interprime number because it is at equal distance from previous prime (96785270399) and next prime (96785270401).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×96785270400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 96785270400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96785270401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5093961591 + ... + 5093961609.

Almost surely, 2^96785270400 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 96785270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223190402400).

96785270400 is an abundant number, since it is smaller than the sum of its proper divisors (349595534400).

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

96785270400 is a wasteful number, since it uses less digits than its factorization.

96785270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 96785270400 in words is "ninety-six billion, seven hundred eighty-five million, two hundred seventy thousand, four hundred".