1012759665840 has 960 divisors, whose sum is σ = 3871802188800. Its totient is φ = 235534417920.

The previous prime is 1012759665839. The next prime is 1012759665877. The reversal of 1012759665840 is 485669572101.

It is a happy number.

1012759665840 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 7 + 59 + 6 + 6 + 584 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2901889986 + ... + 2901890334.

It is an arithmetic number, because the mean of its divisors is an integer number (4033127280).

Almost surely, 2^{1012759665840} is an apocalyptic number.

1012759665840 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 1012759665840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935901094400).

1012759665840 is an abundant number, since it is smaller than the sum of its proper divisors (2859042522960).

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

1012759665840 is a wasteful number, since it uses less digits than its factorization.

1012759665840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 1012759665840 in words is "one trillion, twelve billion, seven hundred fifty-nine million, six hundred sixty-five thousand, eight hundred forty".