95442124800 has 720 divisors, whose sum is σ = 360413932032. Its totient is φ = 22059417600.

The previous prime is 95442124787. The next prime is 95442124801. The reversal of 95442124800 is 842124459.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95442124801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 310886247 + ... + 310886553.

Almost surely, 2^95442124800 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 95442124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180206966016).

95442124800 is an abundant number, since it is smaller than the sum of its proper divisors (264971807232).

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

95442124800 is a wasteful number, since it uses less digits than its factorization.

95442124800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 95442124800 in words is "ninety-five billion, four hundred forty-two million, one hundred twenty-four thousand, eight hundred".