1295526960 has 500 divisors, whose sum is σ = 5570865168. Its totient is φ = 273341952.

The previous prime is 1295526959. The next prime is 1295526971. The reversal of 1295526960 is 696255921.

It is a happy number.

1295526960 is a `hidden beast` number, since 1 + 2 + 9 + 552 + 6 + 96 + 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 99 ways as a sum of consecutive naturals, for example, 99655914 + ... + 99655926.

Almost surely, 2^1295526960 is an apocalyptic number.

1295526960 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 1295526960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2785432584).

1295526960 is an abundant number, since it is smaller than the sum of its proper divisors (4275338208).

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

1295526960 is an frugal number, since it uses more digits than its factorization.

1295526960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 1295526960 is about 35993.4294003781. The cubic root of 1295526960 is about 1090.1396897537.

The spelling of 1295526960 in words is "one billion, two hundred ninety-five million, five hundred twenty-six thousand, nine hundred sixty".