95484948800 has 84 divisors (see below), whose sum is σ = 235083734556. Its totient is φ = 38172672000.

The previous prime is 95484948719. The next prime is 95484948827. The reversal of 95484948800 is 884948459.

It can be written as a sum of positive squares in 6 ways, for example, as 157151296 + 95327797504 = 12536^2 + 308752^2 .

It is a super-3 number, since 3×95484948800³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 95484948800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3025904 + ... + 3057296.

Almost surely, 2^95484948800 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 95484948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117541867278).

95484948800 is an abundant number, since it is smaller than the sum of its proper divisors (139598785756).

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

95484948800 is a wasteful number, since it uses less digits than its factorization.

95484948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33316 (or 33301 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 59.

The spelling of 95484948800 in words is "ninety-five billion, four hundred eighty-four million, nine hundred forty-eight thousand, eight hundred".