95974978320 has 960 divisors, whose sum is σ = 382857995520. Its totient is φ = 21456175104.

The previous prime is 95974978313. The next prime is 95974978349. The reversal of 95974978320 is 2387947959.

95974978320 is a `hidden beast` number, since 9 + 597 + 4 + 9 + 7 + 8 + 32 + 0 = 666.

It is a super-2 number, since 2×95974978320² (a number of 23 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 1156324999 + ... + 1156325081.

It is an arithmetic number, because the mean of its divisors is an integer number (398810412).

Almost surely, 2^95974978320 is an apocalyptic number.

95974978320 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 95974978320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191428997760).

95974978320 is an abundant number, since it is smaller than the sum of its proper divisors (286883017200).

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

95974978320 is a wasteful number, since it uses less digits than its factorization.

95974978320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 95974978320 in words is "ninety-five billion, nine hundred seventy-four million, nine hundred seventy-eight thousand, three hundred twenty".