1295822880 has 576 divisors, whose sum is σ = 5196320640. Its totient is φ = 301086720.

The previous prime is 1295822873. The next prime is 1295822911. The reversal of 1295822880 is 882285921.

1295822880 is a `hidden beast` number, since 1 + 295 + 82 + 288 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19340607 + ... + 19340673.

It is an arithmetic number, because the mean of its divisors is an integer number (9021390).

Almost surely, 2^1295822880 is an apocalyptic number.

1295822880 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 1295822880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2598160320).

1295822880 is an abundant number, since it is smaller than the sum of its proper divisors (3900497760).

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

1295822880 is a wasteful number, since it uses less digits than its factorization.

1295822880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 1295822880 is about 35997.5399159443. The cubic root of 1295822880 is about 1090.2226854736. Note that the first 3 decimals are identical.

The spelling of 1295822880 in words is "one billion, two hundred ninety-five million, eight hundred twenty-two thousand, eight hundred eighty".