20736855360 has 1120 divisors, whose sum is σ = 86743641600. Its totient is φ = 4658135040.

The previous prime is 20736855253. The next prime is 20736855443. The reversal of 20736855360 is 6355863702.

20736855360 is a `hidden beast` number, since 2 + 0 + 7 + 36 + 8 + 553 + 60 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 159 ways as a sum of consecutive naturals, for example, 262491801 + ... + 262491879.

It is an arithmetic number, because the mean of its divisors is an integer number (77449680).

Almost surely, 2^20736855360 is an apocalyptic number.

20736855360 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 20736855360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43371820800).

20736855360 is an abundant number, since it is smaller than the sum of its proper divisors (66006786240).

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

20736855360 is a wasteful number, since it uses less digits than its factorization.

20736855360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

It can be divided in two parts, 20736 and 855360, that added together give a square (876096 = 936²).

The spelling of 20736855360 in words is "twenty billion, seven hundred thirty-six million, eight hundred fifty-five thousand, three hundred sixty".