1295597928960 has 1120 divisors, whose sum is σ = 4994109700272. Its totient is φ = 321052999680.

The previous prime is 1295597928953. The next prime is 1295597928973. The reversal of 1295597928960 is 698297955921.

1295597928960 is a `hidden beast` number, since 1 + 2 + 9 + 5 + 597 + 9 + 28 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 274592768256 + 1021005160704 = 524016^2 + 1010448^2 .

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3077429550 + ... + 3077429970.

Almost surely, 2^{1295597928960} is an apocalyptic number.

1295597928960 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 1295597928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2497054850136).

1295597928960 is an abundant number, since it is smaller than the sum of its proper divisors (3698511771312).

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

1295597928960 is an frugal number, since it uses more digits than its factorization.

1295597928960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 220449600, while the sum is 72.

The spelling of 1295597928960 in words is "one trillion, two hundred ninety-five billion, five hundred ninety-seven million, nine hundred twenty-eight thousand, nine hundred sixty".