20805634080 has 480 divisors, whose sum is σ = 91549180800. Its totient is φ = 4323041280.

The previous prime is 20805634061. The next prime is 20805634117. The reversal of 20805634080 is 8043650802.

It is a tau number, because it is divible by the number of its divisors (480).

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

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, 987496 + ... + 1008344.

It is an arithmetic number, because the mean of its divisors is an integer number (190727460).

Almost surely, 2^20805634080 is an apocalyptic number.

20805634080 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 20805634080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45774590400).

20805634080 is an abundant number, since it is smaller than the sum of its proper divisors (70743546720).

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

20805634080 is a wasteful number, since it uses less digits than its factorization.

20805634080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20894 (or 20877 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 20805634080 in words is "twenty billion, eight hundred five million, six hundred thirty-four thousand, eighty".