1290828915936 has 576 divisors, whose sum is σ = 4542300141120. Its totient is φ = 359773747200.

The previous prime is 1290828915931. The next prime is 1290828915983. The reversal of 1290828915936 is 6395198280921.

1290828915936 is a `hidden beast` number, since 12 + 9 + 0 + 8 + 28 + 9 + 1 + 593 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1290828915931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 140593266 + ... + 140602446.

It is an arithmetic number, because the mean of its divisors is an integer number (7885937745).

Almost surely, 2^{1290828915936} is an apocalyptic number.

1290828915936 is a gapful number since it is divisible by the number (16) 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 1290828915936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2271150070560).

1290828915936 is an abundant number, since it is smaller than the sum of its proper divisors (3251471225184).

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

1290828915936 is an frugal number, since it uses more digits than its factorization.

1290828915936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9267 (or 9234 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 1290828915936 in words is "one trillion, two hundred ninety billion, eight hundred twenty-eight million, nine hundred fifteen thousand, nine hundred thirty-six".