819090000036 has 384 divisors, whose sum is σ = 2868517048320. Its totient is φ = 195577804800.

The previous prime is 819089999989. The next prime is 819090000041. The reversal of 819090000036 is 630000090918.

It is a super-3 number, since 3×819090000036³ (a number of 37 digits) contains 333 as substring.

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

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 127 ways as a sum of consecutive naturals, for example, 6011626 + ... + 6146366.

It is an arithmetic number, because the mean of its divisors is an integer number (7470096480).

Almost surely, 2^819090000036 is an apocalyptic number.

819090000036 is a gapful number since it is divisible by the number (86) 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 819090000036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434258524160).

819090000036 is an abundant number, since it is smaller than the sum of its proper divisors (2049427048284).

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

819090000036 is a wasteful number, since it uses less digits than its factorization.

819090000036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134832 (or 134824 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 819090000036 in words is "eight hundred nineteen billion, ninety million, thirty-six", and thus it is an aban number.