96917874278400 has 3240 divisors, whose sum is σ = 437609278992600. Its totient is φ = 21189497978880.

The previous prime is 96917874278353. The next prime is 96917874278513. The reversal of 96917874278400 is 487247871969.

96917874278400 is a `hidden beast` number, since 9 + 6 + 9 + 178 + 7 + 42 + 7 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 4213820620789 + ... + 4213820620811.

Almost surely, 2^{96917874278400} is an apocalyptic number.

96917874278400 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 96917874278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218804639496300).

96917874278400 is an abundant number, since it is smaller than the sum of its proper divisors (340691404714200).

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

96917874278400 is an frugal number, since it uses more digits than its factorization.

96917874278400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 341397504, while the sum is 72.

The spelling of 96917874278400 in words is "ninety-six trillion, nine hundred seventeen billion, eight hundred seventy-four million, two hundred seventy-eight thousand, four hundred".