811883740800 has 768 divisors, whose sum is σ = 3089855808000. Its totient is φ = 185304268800.

The previous prime is 811883740799. The next prime is 811883740867. The reversal of 811883740800 is 8047388118.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 811883740800.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 347106031 + ... + 347108369.

It is an arithmetic number, because the mean of its divisors is an integer number (4023249750).

Almost surely, 2^811883740800 is an apocalyptic number.

811883740800 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 811883740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544927904000).

811883740800 is an abundant number, since it is smaller than the sum of its proper divisors (2277972067200).

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

811883740800 is a wasteful number, since it uses less digits than its factorization.

811883740800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2569 (or 2552 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 48.

The spelling of 811883740800 in words is "eight hundred eleven billion, eight hundred eighty-three million, seven hundred forty thousand, eight hundred".