95729778688 has 64 divisors (see below), whose sum is σ = 192461353020. Its totient is φ = 47613739008.

The previous prime is 95729778659. The next prime is 95729778719. The reversal of 95729778688 is 88687792759.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 95080955904 + 648822784 = 308352^2 + 25472^2 .

It is a tau number, because it is divible by the number of its divisors (64).

Its product of digits (853493760) is a multiple of the sum of its prime factors (15360).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6316656 + ... + 6331792.

Almost surely, 2^95729778688 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 95729778688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96230676510).

95729778688 is an abundant number, since it is smaller than the sum of its proper divisors (96731574332).

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

95729778688 is an equidigital number, since it uses as much as digits as its factorization.

95729778688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15360 (or 15332 counting only the distinct ones).

The product of its digits is 853493760, while the sum is 76.

The spelling of 95729778688 in words is "ninety-five billion, seven hundred twenty-nine million, seven hundred seventy-eight thousand, six hundred eighty-eight".