20084058279936 has 832 divisors, whose sum is σ = 72027958220800. Its totient is φ = 5402290028544.

The previous prime is 20084058279889. The next prime is 20084058279947. The reversal of 20084058279936 is 63997285048002.

20084058279936 is a `hidden beast` number, since 2 + 0 + 0 + 8 + 40 + 582 + 7 + 9 + 9 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2397519780 + ... + 2397528156.

Almost surely, 2^{20084058279936} 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 20084058279936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36013979110400).

20084058279936 is an abundant number, since it is smaller than the sum of its proper divisors (51943899940864).

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

20084058279936 is a wasteful number, since it uses less digits than its factorization.

20084058279936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8599 (or 8571 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 20084058279936 in words is "twenty trillion, eighty-four billion, fifty-eight million, two hundred seventy-nine thousand, nine hundred thirty-six".