95851622800 has 120 divisors (see below), whose sum is σ = 237129633000. Its totient is φ = 37206282240.

The previous prime is 95851622753. The next prime is 95851622861. The reversal of 95851622800 is 822615859.

It can be written as a sum of positive squares in 12 ways, for example, as 8588099584 + 87263523216 = 92672^2 + 295404^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5748876 + ... + 5765524.

It is an arithmetic number, because the mean of its divisors is an integer number (1976080275).

Almost surely, 2^95851622800 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 95851622800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118564816500).

95851622800 is an abundant number, since it is smaller than the sum of its proper divisors (141278010200).

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

95851622800 is a wasteful number, since it uses less digits than its factorization.

95851622800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17093 (or 17082 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 46.

The spelling of 95851622800 in words is "ninety-five billion, eight hundred fifty-one million, six hundred twenty-two thousand, eight hundred".