95876680320 has 704 divisors, whose sum is σ = 357764061600. Its totient is φ = 24549267456.

The previous prime is 95876680307. The next prime is 95876680369. The reversal of 95876680320 is 2308667859.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 1625028451 + ... + 1625028509.

Almost surely, 2^95876680320 is an apocalyptic number.

95876680320 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 95876680320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178882030800).

95876680320 is an abundant number, since it is smaller than the sum of its proper divisors (261887381280).

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

95876680320 is an frugal number, since it uses more digits than its factorization.

95876680320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 95876680320 in words is "ninety-five billion, eight hundred seventy-six million, six hundred eighty thousand, three hundred twenty".