1260159897600 has 1248 divisors, whose sum is σ = 4977176618880. Its totient is φ = 315319910400.

The previous prime is 1260159897541. The next prime is 1260159897691. The reversal of 1260159897600 is 67989510621.

1260159897600 is a `hidden beast` number, since 1 + 26 + 0 + 1 + 5 + 9 + 8 + 9 + 7 + 600 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 3807129435 + ... + 3807129765.

Almost surely, 2^{1260159897600} is an apocalyptic number.

1260159897600 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 1260159897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488588309440).

1260159897600 is an abundant number, since it is smaller than the sum of its proper divisors (3717016721280).

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

1260159897600 is an frugal number, since it uses more digits than its factorization.

1260159897600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 1260159897600 in words is "one trillion, two hundred sixty billion, one hundred fifty-nine million, eight hundred ninety-seven thousand, six hundred".