20540455200 has 144 divisors (see below), whose sum is σ = 74288057760. Its totient is φ = 5477448960.

The previous prime is 20540455183. The next prime is 20540455217. The reversal of 20540455200 is 255404502.

20540455200 is a `hidden beast` number, since 2 + 0 + 5 + 4 + 0 + 455 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (20540455183) and next prime (20540455217).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×20540455200³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 453874 + ... + 497073.

It is an arithmetic number, because the mean of its divisors is an integer number (515889290).

Almost surely, 2^20540455200 is an apocalyptic number.

20540455200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20540455200 is an abundant number, since it is smaller than the sum of its proper divisors (53747602560).

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

20540455200 is a wasteful number, since it uses less digits than its factorization.

20540455200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950976 (or 950957 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

Adding to 20540455200 its reverse (255404502), we get a palindrome (20795859702).

The spelling of 20540455200 in words is "twenty billion, five hundred forty million, four hundred fifty-five thousand, two hundred".