20816040960 has 1056 divisors, whose sum is σ = 88465772160. Its totient is φ = 4658135040.

The previous prime is 20816040943. The next prime is 20816040961. The reversal of 20816040960 is 6904061802.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×20816040960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20816040961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1601233914 + ... + 1601233926.

Almost surely, 2^20816040960 is an apocalyptic number.

20816040960 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 20816040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44232886080).

20816040960 is an abundant number, since it is smaller than the sum of its proper divisors (67649731200).

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

20816040960 is an equidigital number, since it uses as much as digits as its factorization.

20816040960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 20816040960 in words is "twenty billion, eight hundred sixteen million, forty thousand, nine hundred sixty".