20085379776 has 504 divisors, whose sum is σ = 76296170496. Its totient is φ = 4906967040.

The previous prime is 20085379771. The next prime is 20085379799. The reversal of 20085379776 is 67797358002.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×20085379776² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20085379771) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12816945 + ... + 12818511.

Almost surely, 2^20085379776 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 20085379776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38148085248).

20085379776 is an abundant number, since it is smaller than the sum of its proper divisors (56210790720).

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

20085379776 is a wasteful number, since it uses less digits than its factorization.

20085379776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 20085379776 in words is "twenty billion, eighty-five million, three hundred seventy-nine thousand, seven hundred seventy-six".