811987200000 has 1152 divisors, whose sum is σ = 3112000819200. Its totient is φ = 209018880000.

The previous prime is 811987199983. The next prime is 811987200001. The reversal of 811987200000 is 2789118.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (811987200001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6393599937 + ... + 6393600063.

It is an arithmetic number, because the mean of its divisors is an integer number (2701389600).

Almost surely, 2^811987200000 is an apocalyptic number.

811987200000 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 811987200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556000409600).

811987200000 is an abundant number, since it is smaller than the sum of its proper divisors (2300013619200).

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

811987200000 is an equidigital number, since it uses as much as digits as its factorization.

811987200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

Adding to 811987200000 its reverse (2789118), we get a palindrome (811989989118).

The spelling of 811987200000 in words is "eight hundred eleven billion, nine hundred eighty-seven million, two hundred thousand".