253555124330200 has 384 divisors, whose sum is σ = 738530659584000. Its totient is φ = 78648866150400.

The previous prime is 253555124330161. The next prime is 253555124330213. The reversal of 253555124330200 is 2033421555352.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5936786446 + ... + 5936829154.

It is an arithmetic number, because the mean of its divisors is an integer number (1923256926000).

Almost surely, 2^{253555124330200} is an apocalyptic number.

253555124330200 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 253555124330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369265329792000).

253555124330200 is an abundant number, since it is smaller than the sum of its proper divisors (484975535253800).

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

253555124330200 is a wasteful number, since it uses less digits than its factorization.

253555124330200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44595 (or 44586 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 40.

Adding to 253555124330200 its reverse (2033421555352), we get a palindrome (255588545885552).

The spelling of 253555124330200 in words is "two hundred fifty-three trillion, five hundred fifty-five billion, one hundred twenty-four million, three hundred thirty thousand, two hundred".