20255976000 has 1344 divisors, whose sum is σ = 88269592320. Its totient is φ = 4379443200.

The previous prime is 20255975977. The next prime is 20255976043. The reversal of 20255976000 is 67955202.

20255976000 is a `hidden beast` number, since 2 + 0 + 2 + 5 + 597 + 60 + 0 + 0 = 666.

It is a super-3 number, since 3×20255976000³ (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 191 ways as a sum of consecutive naturals, for example, 302327967 + ... + 302328033.

It is an arithmetic number, because the mean of its divisors is an integer number (65676780).

Almost surely, 2^20255976000 is an apocalyptic number.

20255976000 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 20255976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44134796160).

20255976000 is an abundant number, since it is smaller than the sum of its proper divisors (68013616320).

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

20255976000 is a wasteful number, since it uses less digits than its factorization.

20255976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

It can be divided in two parts, 2025 and 5976000, that added together give a square (5978025 = 2445²).

The spelling of 20255976000 in words is "twenty billion, two hundred fifty-five million, nine hundred seventy-six thousand".