20711738880 has 800 divisors, whose sum is σ = 89361423360. Its totient is φ = 4478976000.

The previous prime is 20711738869. The next prime is 20711738893. The reversal of 20711738880 is 8883711702.

20711738880 = 24³ + 25³ + ... + 536³.

It is a super-2 number, since 2×20711738880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27578505 + ... + 27579255.

Almost surely, 2^20711738880 is an apocalyptic number.

20711738880 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 20711738880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44680711680).

20711738880 is an abundant number, since it is smaller than the sum of its proper divisors (68649684480).

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

20711738880 is an equidigital number, since it uses as much as digits as its factorization.

20711738880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 20711738880 in words is "twenty billion, seven hundred eleven million, seven hundred thirty-eight thousand, eight hundred eighty".