95240822400 has 576 divisors, whose sum is σ = 349051599000. Its totient is φ = 24719523840.

The previous prime is 95240822353. The next prime is 95240822527. The reversal of 95240822400 is 422804259.

95240822400 is a `hidden beast` number, since 9 + 5 + 2 + 408 + 2 + 240 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 7686379584 + 87554442816 = 87672^2 + 295896^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 187113346 + ... + 187113854.

Almost surely, 2^95240822400 is an apocalyptic number.

95240822400 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 95240822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174525799500).

95240822400 is an abundant number, since it is smaller than the sum of its proper divisors (253810776600).

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

95240822400 is a wasteful number, since it uses less digits than its factorization.

95240822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 681 counting only the distinct ones).

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

The spelling of 95240822400 in words is "ninety-five billion, two hundred forty million, eight hundred twenty-two thousand, four hundred".