95252889600 has 1260 divisors, whose sum is σ = 399687933960. Its totient is φ = 22295347200.

The previous prime is 95252889587. The next prime is 95252889619. The reversal of 95252889600 is 698825259.

95252889600 is a `hidden beast` number, since 9 + 5 + 2 + 5 + 28 + 8 + 9 + 600 = 666.

It is a super-2 number, since 2×95252889600² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3284582386 + ... + 3284582414.

It is an arithmetic number, because the mean of its divisors is an integer number (317212646).

Almost surely, 2^95252889600 is an apocalyptic number.

95252889600 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 95252889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199843966980).

95252889600 is an abundant number, since it is smaller than the sum of its proper divisors (304435044360).

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

95252889600 is an equidigital number, since it uses as much as digits as its factorization.

95252889600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 50 counting only the distinct ones).

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

The spelling of 95252889600 in words is "ninety-five billion, two hundred fifty-two million, eight hundred eighty-nine thousand, six hundred".