214590090820 has 96 divisors (see below), whose sum is σ = 521501879808. Its totient is φ = 72651313152.

The previous prime is 214590090791. The next prime is 214590090863. The reversal of 214590090820 is 28090095412.

214590090820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 5069182 + ... + 5111338.

It is an arithmetic number, because the mean of its divisors is an integer number (5432311248).

Almost surely, 2^214590090820 is an apocalyptic number.

214590090820 is a gapful number since it is divisible by the number (20) 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 214590090820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260750939904).

214590090820 is an abundant number, since it is smaller than the sum of its proper divisors (306911788988).

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

214590090820 is a wasteful number, since it uses less digits than its factorization.

214590090820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42629 (or 42627 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The spelling of 214590090820 in words is "two hundred fourteen billion, five hundred ninety million, ninety thousand, eight hundred twenty".