95325409200 has 480 divisors, whose sum is σ = 379218903040. Its totient is φ = 19974988800.

The previous prime is 95325409189. The next prime is 95325409211. The reversal of 95325409200 is 290452359.

It is an interprime number because it is at equal distance from previous prime (95325409189) and next prime (95325409211).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4937967 + ... + 4957233.

Almost surely, 2^95325409200 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 95325409200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189609451520).

95325409200 is an abundant number, since it is smaller than the sum of its proper divisors (283893493840).

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

95325409200 is a wasteful number, since it uses less digits than its factorization.

95325409200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19345 (or 19334 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The spelling of 95325409200 in words is "ninety-five billion, three hundred twenty-five million, four hundred nine thousand, two hundred".