253158172200 has 192 divisors, whose sum is σ = 873672652800. Its totient is φ = 67378521600.

The previous prime is 253158172199. The next prime is 253158172229. The reversal of 253158172200 is 2271851352.

253158172200 is a `hidden beast` number, since 2 + 5 + 3 + 1 + 581 + 72 + 2 + 0 + 0 = 666.

253158172200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2768409 + ... + 2858391.

It is an arithmetic number, because the mean of its divisors is an integer number (4550378400).

Almost surely, 2^253158172200 is an apocalyptic number.

253158172200 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 253158172200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436836326400).

253158172200 is an abundant number, since it is smaller than the sum of its proper divisors (620514480600).

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

253158172200 is a wasteful number, since it uses less digits than its factorization.

253158172200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90529 (or 90514 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 253158172200 in words is "two hundred fifty-three billion, one hundred fifty-eight million, one hundred seventy-two thousand, two hundred".