1291578780800 has 576 divisors, whose sum is σ = 4243948369920. Its totient is φ = 378875904000.

The previous prime is 1291578780787. The next prime is 1291578780839. The reversal of 1291578780800 is 80878751921.

It is a Harshad number since it is a multiple of its sum of digits (56).

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, 46062785 + ... + 46090815.

It is an arithmetic number, because the mean of its divisors is an integer number (7367965920).

Almost surely, 2^{1291578780800} is an apocalyptic number.

1291578780800 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 1291578780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2121974184960).

1291578780800 is an abundant number, since it is smaller than the sum of its proper divisors (2952369589120).

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

1291578780800 is a wasteful number, since it uses less digits than its factorization.

1291578780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28101 (or 28073 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 56.

The spelling of 1291578780800 in words is "one trillion, two hundred ninety-one billion, five hundred seventy-eight million, seven hundred eighty thousand, eight hundred".