20852433360 has 360 divisors, whose sum is σ = 79067100840. Its totient is φ = 4917749760.

The previous prime is 20852433353. The next prime is 20852433389. The reversal of 20852433360 is 6333425802.

It is a happy number.

20852433360 is a `hidden beast` number, since 2 + 0 + 85 + 243 + 336 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1495832976 + 19356600384 = 38676^2 + 139128^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×20852433360³ (a number of 32 digits) contains 333 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 an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3220206 + ... + 3226674.

Almost surely, 2^20852433360 is an apocalyptic number.

20852433360 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 20852433360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39533550420).

20852433360 is an abundant number, since it is smaller than the sum of its proper divisors (58214667480).

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

20852433360 is a wasteful number, since it uses less digits than its factorization.

20852433360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6547 (or 6527 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 20852433360 in words is "twenty billion, eight hundred fifty-two million, four hundred thirty-three thousand, three hundred sixty".