96818917478400 has 1872 divisors, whose sum is σ = 390897736832512. Its totient is φ = 22741254144000.

The previous prime is 96818917478377. The next prime is 96818917478407. The reversal of 96818917478400 is 487471981869.

96818917478400 is a `hidden beast` number, since 9 + 6 + 8 + 1 + 89 + 1 + 74 + 78 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (96818917478407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27112548615 + ... + 27112552185.

Almost surely, 2^{96818917478400} is an apocalyptic number.

96818917478400 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 96818917478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195448868416256).

96818917478400 is an abundant number, since it is smaller than the sum of its proper divisors (294078819354112).

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

96818917478400 is a wasteful number, since it uses less digits than its factorization.

96818917478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3728 (or 3698 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 72.

The spelling of 96818917478400 in words is "ninety-six trillion, eight hundred eighteen billion, nine hundred seventeen million, four hundred seventy-eight thousand, four hundred".