1296766396800 has 576 divisors, whose sum is σ = 5400736473600. Its totient is φ = 290095165440.

The previous prime is 1296766396729. The next prime is 1296766396897. The reversal of 1296766396800 is 86936676921.

1296766396800 is a `hidden beast` number, since 12 + 96 + 76 + 6 + 396 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9406771 + ... + 9543629.

It is an arithmetic number, because the mean of its divisors is an integer number (9376278600).

Almost surely, 2^{1296766396800} is an apocalyptic number.

1296766396800 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 1296766396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2700368236800).

1296766396800 is an abundant number, since it is smaller than the sum of its proper divisors (4103970076800).

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

1296766396800 is a wasteful number, since it uses less digits than its factorization.

1296766396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136943 (or 136923 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 1296766396800 in words is "one trillion, two hundred ninety-six billion, seven hundred sixty-six million, three hundred ninety-six thousand, eight hundred".