96867719779600 has 1125 divisors, whose sum is σ = 302285204440565. Its totient is φ = 29828770540800.

The previous prime is 96867719779583. The next prime is 96867719779669. The reversal of 96867719779600 is 697791776869.

The square root of 96867719779600 is 9842140.

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

It can be written as a sum of positive squares in only one way, i.e., 34872379120656 + 61995340658944 = 5905284^2 + 7873712^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 1167080961159 + ... + 1167080961241.

Almost surely, 2^{96867719779600} is an apocalyptic number.

96867719779600 is the 9842140-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96867719779600

96867719779600 is an abundant number, since it is smaller than the sum of its proper divisors (205417484660965).

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

96867719779600 is an frugal number, since it uses more digits than its factorization.

96867719779600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 3024568512, while the sum is 82.

The spelling of 96867719779600 in words is "ninety-six trillion, eight hundred sixty-seven billion, seven hundred nineteen million, seven hundred seventy-nine thousand, six hundred".