96795654400 has 81 divisors (see below), whose sum is σ = 239645990451. Its totient is φ = 38708305920.

The previous prime is 96795654383. The next prime is 96795654419. The reversal of 96795654400 is 445659769.

It is a happy number.

The square root of 96795654400 is 311120.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 804743424 + 95990910976 = 28368^2 + 309824^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24887656 + ... + 24891544.

Almost surely, 2^96795654400 is an apocalyptic number.

96795654400 is the 311120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96795654400

96795654400 is an abundant number, since it is smaller than the sum of its proper divisors (142850336051).

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

96795654400 is an frugal number, since it uses more digits than its factorization.

96795654400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7804 (or 3896 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 55.

The spelling of 96795654400 in words is "ninety-six billion, seven hundred ninety-five million, six hundred fifty-four thousand, four hundred".