1295300160 has 840 divisors, whose sum is σ = 5886175680. Its totient is φ = 264591360.

The previous prime is 1295300147. The next prime is 1295300161. The reversal of 1295300160 is 610035921.

1295300160 is a `hidden beast` number, since 129 + 530 + 0 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1295300161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 21954211 + ... + 21954269.

It is an arithmetic number, because the mean of its divisors is an integer number (7007352).

Almost surely, 2^1295300160 is an apocalyptic number.

1295300160 is a gapful number since it is divisible by the number (10) 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 1295300160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2943087840).

1295300160 is an abundant number, since it is smaller than the sum of its proper divisors (4590875520).

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

1295300160 is a wasteful number, since it uses less digits than its factorization.

1295300160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 1295300160 is about 35990.2786874456. The cubic root of 1295300160 is about 1090.0760713398.

The spelling of 1295300160 in words is "one billion, two hundred ninety-five million, three hundred thousand, one hundred sixty".