96814684400 has 120 divisors (see below), whose sum is σ = 265997573280. Its totient is φ = 33172116480.

The previous prime is 96814684399. The next prime is 96814684409. The reversal of 96814684400 is 448641869.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96814684409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4662842 + ... + 4683558.

It is an arithmetic number, because the mean of its divisors is an integer number (2216646444).

Almost surely, 2^96814684400 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 96814684400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132998786640).

96814684400 is an abundant number, since it is smaller than the sum of its proper divisors (169182888880).

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

96814684400 is a wasteful number, since it uses less digits than its factorization.

96814684400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22411 (or 22400 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 50.

The spelling of 96814684400 in words is "ninety-six billion, eight hundred fourteen million, six hundred eighty-four thousand, four hundred".