295960084992 has 960 divisors, whose sum is σ = 1052770118400. Its totient is φ = 78829977600.

The previous prime is 295960084961. The next prime is 295960085023. The reversal of 295960084992 is 299480069592.

It is an interprime number because it is at equal distance from previous prime (295960084961) and next prime (295960085023).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1487236509 + ... + 1487236707.

It is an arithmetic number, because the mean of its divisors is an integer number (1096635540).

Almost surely, 2^295960084992 is an apocalyptic number.

295960084992 is a gapful number since it is divisible by the number (22) 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 295960084992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526385059200).

295960084992 is an abundant number, since it is smaller than the sum of its proper divisors (756810033408).

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

295960084992 is a wasteful number, since it uses less digits than its factorization.

295960084992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 295960084992 in words is "two hundred ninety-five billion, nine hundred sixty million, eighty-four thousand, nine hundred ninety-two".