95252820096 has 384 divisors, whose sum is σ = 308117813760. Its totient is φ = 25964789760.

The previous prime is 95252820073. The next prime is 95252820151. The reversal of 95252820096 is 69002825259.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 47 ways as a sum of consecutive naturals, for example, 42579490 + ... + 42581726.

It is an arithmetic number, because the mean of its divisors is an integer number (802390140).

Almost surely, 2^95252820096 is an apocalyptic number.

95252820096 is a gapful number since it is divisible by the number (96) 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 95252820096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154058906880).

95252820096 is an abundant number, since it is smaller than the sum of its proper divisors (212864993664).

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

95252820096 is a wasteful number, since it uses less digits than its factorization.

95252820096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372 (or 2353 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The spelling of 95252820096 in words is "ninety-five billion, two hundred fifty-two million, eight hundred twenty thousand, ninety-six".