95085489600 has 336 divisors, whose sum is σ = 348098201440. Its totient is φ = 25248153600.

The previous prime is 95085489593. The next prime is 95085489601. The reversal of 95085489600 is 698458059.

It is a happy number.

95085489600 is a `hidden beast` number, since 9 + 5 + 0 + 8 + 548 + 96 + 0 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95085489601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10406634 + ... + 10415766.

Almost surely, 2^95085489600 is an apocalyptic number.

95085489600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95085489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174049100720).

95085489600 is an abundant number, since it is smaller than the sum of its proper divisors (253012711840).

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

95085489600 is a wasteful number, since it uses less digits than its factorization.

95085489600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9405 (or 9384 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 95085489600 in words is "ninety-five billion, eighty-five million, four hundred eighty-nine thousand, six hundred".