95263795200 has 576 divisors, whose sum is σ = 368867640960. Its totient is φ = 21233664000.

The previous prime is 95263795189. The next prime is 95263795213. The reversal of 95263795200 is 259736259.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 95263795200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44082120 + ... + 44084280.

It is an arithmetic number, because the mean of its divisors is an integer number (640395210).

Almost surely, 2^95263795200 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 95263795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184433820480).

95263795200 is an abundant number, since it is smaller than the sum of its proper divisors (273603845760).

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

95263795200 is a wasteful number, since it uses less digits than its factorization.

95263795200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2244 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 48.

The spelling of 95263795200 in words is "ninety-five billion, two hundred sixty-three million, seven hundred ninety-five thousand, two hundred".