1290078679680 has 2304 divisors, whose sum is σ = 5721109954560. Its totient is φ = 276531978240.

The previous prime is 1290078679597. The next prime is 1290078679693. The reversal of 1290078679680 is 869768700921.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10158099777 + ... + 10158099903.

It is an arithmetic number, because the mean of its divisors is an integer number (2483120640).

Almost surely, 2^{1290078679680} is an apocalyptic number.

1290078679680 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 1290078679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2860554977280).

1290078679680 is an abundant number, since it is smaller than the sum of its proper divisors (4431031274880).

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

1290078679680 is a wasteful number, since it uses less digits than its factorization.

1290078679680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 1290078679680 in words is "one trillion, two hundred ninety billion, seventy-eight million, six hundred seventy-nine thousand, six hundred eighty".