95720829120 has 672 divisors, whose sum is σ = 385189024896. Its totient is φ = 21366374400.

The previous prime is 95720829103. The next prime is 95720829131. The reversal of 95720829120 is 2192802759.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 340643380 + ... + 340643660.

Almost surely, 2^95720829120 is an apocalyptic number.

95720829120 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 95720829120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192594512448).

95720829120 is an abundant number, since it is smaller than the sum of its proper divisors (289468195776).

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

95720829120 is a wasteful number, since it uses less digits than its factorization.

95720829120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 95720829120 in words is "ninety-five billion, seven hundred twenty million, eight hundred twenty-nine thousand, one hundred twenty".