1291767265600 has 336 divisors, whose sum is σ = 3817629152128. Its totient is φ = 420894351360.

The previous prime is 1291767265549. The next prime is 1291767265603. The reversal of 1291767265600 is 65627671921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1291767265603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17782954 + ... + 17855446.

Almost surely, 2^{1291767265600} is an apocalyptic number.

1291767265600 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 1291767265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908814576064).

1291767265600 is an abundant number, since it is smaller than the sum of its proper divisors (2525861886528).

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

1291767265600 is a wasteful number, since it uses less digits than its factorization.

1291767265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72602 (or 72587 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 52.

The spelling of 1291767265600 in words is "one trillion, two hundred ninety-one billion, seven hundred sixty-seven million, two hundred sixty-five thousand, six hundred".