1290600764800 has 192 divisors, whose sum is σ = 3215943720000. Its totient is φ = 511765954560.

The previous prime is 1290600764777. The next prime is 1290600764819. The reversal of 1290600764800 is 84670060921.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175135516 + ... + 175142884.

It is an arithmetic number, because the mean of its divisors is an integer number (16749706875).

Almost surely, 2^{1290600764800} is an apocalyptic number.

1290600764800 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 1290600764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607971860000).

1290600764800 is an abundant number, since it is smaller than the sum of its proper divisors (1925342955200).

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

1290600764800 is a wasteful number, since it uses less digits than its factorization.

1290600764800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7861 (or 7844 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 1290600764800 in words is "one trillion, two hundred ninety billion, six hundred million, seven hundred sixty-four thousand, eight hundred".