820018711800 has 432 divisors, whose sum is σ = 2926375263240. Its totient is φ = 213571572480.

The previous prime is 820018711777. The next prime is 820018711807. The reversal of 820018711800 is 8117810028.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820018711807) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 56417334 + ... + 56431866.

Almost surely, 2^820018711800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820018711800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463187631620).

820018711800 is an abundant number, since it is smaller than the sum of its proper divisors (2106356551440).

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

820018711800 is a wasteful number, since it uses less digits than its factorization.

820018711800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14616 (or 14586 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 36.

The spelling of 820018711800 in words is "eight hundred twenty billion, eighteen million, seven hundred eleven thousand, eight hundred".