83859670440 has 512 divisors, whose sum is σ = 345171456000. Its totient is φ = 17635304448.

The previous prime is 83859670403. The next prime is 83859670459. The reversal of 83859670440 is 4407695838.

83859670440 is a `hidden beast` number, since 8 + 3 + 8 + 596 + 7 + 0 + 4 + 40 = 666.

It is a super-3 number, since 3×83859670440³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34101931 + ... + 34104389.

It is an arithmetic number, because the mean of its divisors is an integer number (674163000).

Almost surely, 2^83859670440 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 83859670440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172585728000).

83859670440 is an abundant number, since it is smaller than the sum of its proper divisors (261311785560).

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

83859670440 is a wasteful number, since it uses less digits than its factorization.

83859670440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2846 (or 2836 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 83859670440 in words is "eighty-three billion, eight hundred fifty-nine million, six hundred seventy thousand, four hundred forty".