20847516480 has 672 divisors, whose sum is σ = 89314202880. Its totient is φ = 4555837440.

The previous prime is 20847516479. The next prime is 20847516497. The reversal of 20847516480 is 8461574802.

20847516480 is a `hidden beast` number, since 20 + 84 + 75 + 1 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 9736210 + ... + 9738350.

It is an arithmetic number, because the mean of its divisors is an integer number (132908040).

Almost surely, 2^20847516480 is an apocalyptic number.

20847516480 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 20847516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44657101440).

20847516480 is an abundant number, since it is smaller than the sum of its proper divisors (68466686400).

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

20847516480 is a wasteful number, since it uses less digits than its factorization.

20847516480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2204 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

It can be divided in two parts, 2084 and 7516480, that added together give a square (7518564 = 2742²).

The spelling of 20847516480 in words is "twenty billion, eight hundred forty-seven million, five hundred sixteen thousand, four hundred eighty".