20985970176 has 240 divisors, whose sum is σ = 63340477200. Its totient is φ = 6680346624.

The previous prime is 20985970157. The next prime is 20985970177. The reversal of 20985970176 is 67107958902.

It is a super-2 number, since 2×20985970176² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20985970177) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12961495 + ... + 12963113.

It is an arithmetic number, because the mean of its divisors is an integer number (263918655).

Almost surely, 2^20985970176 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 20985970176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31670238600).

20985970176 is an abundant number, since it is smaller than the sum of its proper divisors (42354507024).

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

20985970176 is a wasteful number, since it uses less digits than its factorization.

20985970176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 20985970176 in words is "twenty billion, nine hundred eighty-five million, nine hundred seventy thousand, one hundred seventy-six".