95079400000 has 504 divisors, whose sum is σ = 266891277240. Its totient is φ = 33546240000.

The previous prime is 95079399973. The next prime is 95079400021. The reversal of 95079400000 is 497059.

It can be written as a sum of positive squares in 36 ways, for example, as 15767322624 + 79312077376 = 125568^2 + 281624^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 980199952 + ... + 980200048.

It is an arithmetic number, because the mean of its divisors is an integer number (529546185).

Almost surely, 2^95079400000 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 95079400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133445638620).

95079400000 is an abundant number, since it is smaller than the sum of its proper divisors (171811877240).

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

95079400000 is an equidigital number, since it uses as much as digits as its factorization.

95079400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 34.

Adding to 95079400000 its reverse (497059), we get a palindrome (95079897059).

The spelling of 95079400000 in words is "ninety-five billion, seventy-nine million, four hundred thousand".