95727942292224 has 720 divisors, whose sum is σ = 295793551872000. Its totient is φ = 27428866375680.

The previous prime is 95727942292217. The next prime is 95727942292387. The reversal of 95727942292224 is 42229224972759.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23017055457 + ... + 23017059615.

It is an arithmetic number, because the mean of its divisors is an integer number (410824377600).

Almost surely, 2^{95727942292224} 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 95727942292224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147896775936000).

95727942292224 is an abundant number, since it is smaller than the sum of its proper divisors (200065609579776).

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

95727942292224 is an equidigital number, since it uses as much as digits as its factorization.

95727942292224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4334 (or 4287 counting only the distinct ones).

The product of its digits is 182891520, while the sum is 66.

The spelling of 95727942292224 in words is "ninety-five trillion, seven hundred twenty-seven billion, nine hundred forty-two million, two hundred ninety-two thousand, two hundred twenty-four".