95066408160 has 240 divisors, whose sum is σ = 335798882496. Its totient is φ = 25328858112.

The previous prime is 95066408141. The next prime is 95066408161. The reversal of 95066408160 is 6180466059.

95066408160 is a `hidden beast` number, since 9 + 506 + 6 + 4 + 0 + 81 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95066408161) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19269054 + ... + 19273986.

Almost surely, 2^95066408160 is an apocalyptic number.

95066408160 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 95066408160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167899441248).

95066408160 is an abundant number, since it is smaller than the sum of its proper divisors (240732474336).

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

95066408160 is a wasteful number, since it uses less digits than its factorization.

95066408160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6447 (or 6430 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 95066408160 in words is "ninety-five billion, sixty-six million, four hundred eight thousand, one hundred sixty".