20456755200 has 936 divisors, whose sum is σ = 87998861760. Its totient is φ = 4644864000.

The previous prime is 20456755183. The next prime is 20456755201. The reversal of 20456755200 is 255765402.

20456755200 is a `hidden beast` number, since 2 + 0 + 45 + 67 + 552 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20456755201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 135475125 + ... + 135475275.

Almost surely, 2^20456755200 is an apocalyptic number.

20456755200 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 20456755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43999430880).

20456755200 is an abundant number, since it is smaller than the sum of its proper divisors (67542106560).

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

20456755200 is a wasteful number, since it uses less digits than its factorization.

20456755200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 20456755200 in words is "twenty billion, four hundred fifty-six million, seven hundred fifty-five thousand, two hundred".