1009627811280 has 960 divisors, whose sum is σ = 4043573194752. Its totient is φ = 231727288320.

The previous prime is 1009627811261. The next prime is 1009627811281. The reversal of 1009627811280 is 821187269001.

1009627811280 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 627 + 8 + 1 + 12 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009627811281) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 506585964 + ... + 506587956.

Almost surely, 2^{1009627811280} is an apocalyptic number.

1009627811280 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 1009627811280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2021786597376).

1009627811280 is an abundant number, since it is smaller than the sum of its proper divisors (3033945383472).

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

1009627811280 is a wasteful number, since it uses less digits than its factorization.

1009627811280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2158 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 1009627811280 in words is "one trillion, nine billion, six hundred twenty-seven million, eight hundred eleven thousand, two hundred eighty".