253558242000 has 960 divisors, whose sum is σ = 1070852889600. Its totient is φ = 57175372800.

The previous prime is 253558241977. The next prime is 253558242017. The reversal of 253558242000 is 242855352.

It is a happy number.

253558242000 is a `hidden beast` number, since 2 + 5 + 35 + 582 + 42 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×253558242000² (a number of 24 digits) contains 22 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, 209033394 + ... + 209034606.

It is an arithmetic number, because the mean of its divisors is an integer number (1115471760).

Almost surely, 2^253558242000 is an apocalyptic number.

253558242000 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 253558242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535426444800).

253558242000 is an abundant number, since it is smaller than the sum of its proper divisors (817294647600).

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

253558242000 is a wasteful number, since it uses less digits than its factorization.

253558242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 253558242000 in words is "two hundred fifty-three billion, five hundred fifty-eight million, two hundred forty-two thousand".