95122287792 has 320 divisors, whose sum is σ = 317280645120. Its totient is φ = 27058613760.

The previous prime is 95122287779. The next prime is 95122287809. The reversal of 95122287792 is 29778222159.

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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66379108 + ... + 66380540.

It is an arithmetic number, because the mean of its divisors is an integer number (991502016).

Almost surely, 2^95122287792 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 95122287792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158640322560).

95122287792 is an abundant number, since it is smaller than the sum of its proper divisors (222158357328).

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

95122287792 is a wasteful number, since it uses less digits than its factorization.

95122287792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 1716 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The spelling of 95122287792 in words is "ninety-five billion, one hundred twenty-two million, two hundred eighty-seven thousand, seven hundred ninety-two".