1006907795520 has 896 divisors, whose sum is σ = 3672015040512. Its totient is φ = 231623884800.

The previous prime is 1006907795507. The next prime is 1006907795549. The reversal of 1006907795520 is 255977096001.

It is a super-3 number, since 3×1006907795520³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2987856792 + ... + 2987857128.

It is an arithmetic number, because the mean of its divisors is an integer number (4098231072).

Almost surely, 2^{1006907795520} is an apocalyptic number.

1006907795520 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 1006907795520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836007520256).

1006907795520 is an abundant number, since it is smaller than the sum of its proper divisors (2665107244992).

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

1006907795520 is a wasteful number, since it uses less digits than its factorization.

1006907795520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 1190700, while the sum is 51.

The spelling of 1006907795520 in words is "one trillion, six billion, nine hundred seven million, seven hundred ninety-five thousand, five hundred twenty".