95065027200 has 1152 divisors, whose sum is σ = 408961949760. Its totient is φ = 20717568000.

The previous prime is 95065027153. The next prime is 95065027207. The reversal of 95065027200 is 272056059.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (95065027207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 168854119 + ... + 168854681.

Almost surely, 2^95065027200 is an apocalyptic number.

95065027200 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 95065027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204480974880).

95065027200 is an abundant number, since it is smaller than the sum of its proper divisors (313896922560).

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

95065027200 is a wasteful number, since it uses less digits than its factorization.

95065027200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 95065027200 in words is "ninety-five billion, sixty-five million, twenty-seven thousand, two hundred".