1268307532800 has 1584 divisors, whose sum is σ = 5781186528000. Its totient is φ = 263363788800.

The previous prime is 1268307532763. The next prime is 1268307532841. The reversal of 1268307532800 is 82357038621.

1268307532800 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 30 + 7 + 532 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 869298471 + ... + 869299929.

Almost surely, 2^{1268307532800} is an apocalyptic number.

1268307532800 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 1268307532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2890593264000).

1268307532800 is an abundant number, since it is smaller than the sum of its proper divisors (4512878995200).

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

1268307532800 is a wasteful number, since it uses less digits than its factorization.

1268307532800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 1268307532800 in words is "one trillion, two hundred sixty-eight billion, three hundred seven million, five hundred thirty-two thousand, eight hundred".