95099284224 has 576 divisors, whose sum is σ = 339216353280. Its totient is φ = 25692733440.

The previous prime is 95099284213. The next prime is 95099284277. The reversal of 95099284224 is 42248299059.

It is a happy number.

95099284224 is a `hidden beast` number, since 9 + 50 + 99 + 284 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107944264 + ... + 107945144.

It is an arithmetic number, because the mean of its divisors is an integer number (588917280).

Almost surely, 2^95099284224 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 95099284224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169608176640).

95099284224 is an abundant number, since it is smaller than the sum of its proper divisors (244117069056).

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

95099284224 is a wasteful number, since it uses less digits than its factorization.

95099284224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 95099284224 in words is "ninety-five billion, ninety-nine million, two hundred eighty-four thousand, two hundred twenty-four".