83806590420 has 324 divisors, whose sum is σ = 312112641204. Its totient is φ = 18146903040.

The previous prime is 83806590409. The next prime is 83806590433. The reversal of 83806590420 is 2409560838.

83806590420 is a `hidden beast` number, since 8 + 3 + 80 + 65 + 90 + 420 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 58079072016 + 25727518404 = 240996^2 + 160398^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3170860 + ... + 3197180.

It is an arithmetic number, because the mean of its divisors is an integer number (963310621).

Almost surely, 2^83806590420 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 83806590420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156056320602).

83806590420 is an abundant number, since it is smaller than the sum of its proper divisors (228306050784).

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

83806590420 is a wasteful number, since it uses less digits than its factorization.

83806590420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26388 (or 26357 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 83806590420 in words is "eighty-three billion, eight hundred six million, five hundred ninety thousand, four hundred twenty".