95009411200 has 384 divisors, whose sum is σ = 263580272640. Its totient is φ = 33546240000.

The previous prime is 95009411141. The next prime is 95009411201. The reversal of 95009411200 is 211490059.

It is not an unprimeable number, because it can be changed into a prime (95009411201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 236931000 + ... + 236931400.

It is an arithmetic number, because the mean of its divisors is an integer number (686406960).

Almost surely, 2^95009411200 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 95009411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131790136320).

95009411200 is an abundant number, since it is smaller than the sum of its proper divisors (168570861440).

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

95009411200 is a wasteful number, since it uses less digits than its factorization.

95009411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 31.

The spelling of 95009411200 in words is "ninety-five billion, nine million, four hundred eleven thousand, two hundred".