20983878240 has 144 divisors (see below), whose sum is σ = 71575167888. Its totient is φ = 5165242368.

The previous prime is 20983878233. The next prime is 20983878247. The reversal of 20983878240 is 4287838902.

It is an interprime number because it is at equal distance from previous prime (20983878233) and next prime (20983878247).

It is a super-2 number, since 2×20983878240² (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 (20983878247) 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, 48219 + ... + 210458.

It is an arithmetic number, because the mean of its divisors is an integer number (497049777).

Almost surely, 2^20983878240 is an apocalyptic number.

20983878240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20983878240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35787583944).

20983878240 is an abundant number, since it is smaller than the sum of its proper divisors (50591289648).

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

20983878240 is a wasteful number, since it uses less digits than its factorization.

20983878240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258721 (or 258700 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 20983878240 in words is "twenty billion, nine hundred eighty-three million, eight hundred seventy-eight thousand, two hundred forty".