95224222800 has 720 divisors, whose sum is σ = 414871541760. Its totient is φ = 19721180160.

The previous prime is 95224222799. The next prime is 95224222829. The reversal of 95224222800 is 822242259.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 11008077 + ... + 11016723.

Almost surely, 2^95224222800 is an apocalyptic number.

95224222800 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 95224222800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207435770880).

95224222800 is an abundant number, since it is smaller than the sum of its proper divisors (319647318960).

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

95224222800 is a wasteful number, since it uses less digits than its factorization.

95224222800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8720 (or 8706 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 95224222800 in words is "ninety-five billion, two hundred twenty-four million, two hundred twenty-two thousand, eight hundred".