95394886560 has 288 divisors, whose sum is σ = 332751116880. Its totient is φ = 24877891584.

The previous prime is 95394886547. The next prime is 95394886597. The reversal of 95394886560 is 6568849359.

95394886560 is a `hidden beast` number, since 9 + 5 + 39 + 488 + 65 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 29245104144 + 66149782416 = 171012^2 + 257196^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×95394886560³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25717986 + ... + 25721694.

Almost surely, 2^95394886560 is an apocalyptic number.

95394886560 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 95394886560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166375558440).

95394886560 is an abundant number, since it is smaller than the sum of its proper divisors (237356230320).

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

95394886560 is a wasteful number, since it uses less digits than its factorization.

95394886560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4120 (or 4109 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 95394886560 in words is "ninety-five billion, three hundred ninety-four million, eight hundred eighty-six thousand, five hundred sixty".