95069871936 has 448 divisors, whose sum is σ = 320756889600. Its totient is φ = 27353382912.

The previous prime is 95069871931. The next prime is 95069871973. The reversal of 95069871936 is 63917896059.

95069871936 is a `hidden beast` number, since 9 + 506 + 9 + 87 + 19 + 36 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95069871931) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66065905 + ... + 66067343.

It is an arithmetic number, because the mean of its divisors is an integer number (715975200).

Almost surely, 2^95069871936 is an apocalyptic number.

95069871936 is a gapful number since it is divisible by the number (96) 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 95069871936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160378444800).

95069871936 is an abundant number, since it is smaller than the sum of its proper divisors (225687017664).

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

95069871936 is a wasteful number, since it uses less digits than its factorization.

95069871936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 95069871936 in words is "ninety-five billion, sixty-nine million, eight hundred seventy-one thousand, nine hundred thirty-six".