811009889280 has 528 divisors, whose sum is σ = 2855492290560. Its totient is φ = 212809089024.

The previous prime is 811009889233. The next prime is 811009889311. The reversal of 811009889280 is 82988900118.

It is a super-3 number, since 3×811009889280³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 813449742 + ... + 813450738.

Almost surely, 2^811009889280 is an apocalyptic number.

811009889280 is a gapful number since it is divisible by the number (80) 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 811009889280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427746145280).

811009889280 is an abundant number, since it is smaller than the sum of its proper divisors (2044482401280).

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

811009889280 is a wasteful number, since it uses less digits than its factorization.

811009889280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 54.

The spelling of 811009889280 in words is "eight hundred eleven billion, nine million, eight hundred eighty-nine thousand, two hundred eighty".