1295287353360 has 1280 divisors, whose sum is σ = 6041053347840. Its totient is φ = 248396544000.

The previous prime is 1295287353329. The next prime is 1295287353383. The reversal of 1295287353360 is 633537825921.

1295287353360 is a `hidden beast` number, since 1 + 2 + 9 + 5 + 287 + 353 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1295287353297 and 1295287353306.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 261618885 + ... + 261623835.

It is an arithmetic number, because the mean of its divisors is an integer number (4719572928).

Almost surely, 2^{1295287353360} is an apocalyptic number.

1295287353360 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 1295287353360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3020526673920).

1295287353360 is an abundant number, since it is smaller than the sum of its proper divisors (4745765994480).

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

1295287353360 is a wasteful number, since it uses less digits than its factorization.

1295287353360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5026 (or 4992 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 1295287353360 in words is "one trillion, two hundred ninety-five billion, two hundred eighty-seven million, three hundred fifty-three thousand, three hundred sixty".