295133160960 has 480 divisors, whose sum is σ = 1120537566720. Its totient is φ = 71195443200.

The previous prime is 295133160953. The next prime is 295133160961. The reversal of 295133160960 is 69061331592.

295133160960 is a `hidden beast` number, since 2 + 9 + 5 + 1 + 3 + 31 + 609 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 (295133160961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53473081 + ... + 53478599.

It is an arithmetic number, because the mean of its divisors is an integer number (2334453264).

Almost surely, 2^295133160960 is an apocalyptic number.

295133160960 is a gapful number since it is divisible by the number (20) 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 295133160960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560268783360).

295133160960 is an abundant number, since it is smaller than the sum of its proper divisors (825404405760).

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

295133160960 is a wasteful number, since it uses less digits than its factorization.

295133160960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5770 (or 5751 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 295133160960 in words is "two hundred ninety-five billion, one hundred thirty-three million, one hundred sixty thousand, nine hundred sixty".