253258642000 has 320 divisors, whose sum is σ = 758410458624. Its totient is φ = 79651123200.

The previous prime is 253258641989. The next prime is 253258642027. The reversal of 253258642000 is 246852352.

253258642000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 29661732 + ... + 29670268.

Almost surely, 2^253258642000 is an apocalyptic number.

253258642000 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 253258642000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379205229312).

253258642000 is an abundant number, since it is smaller than the sum of its proper divisors (505151816624).

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

253258642000 is a wasteful number, since it uses less digits than its factorization.

253258642000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8743 (or 8727 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

The spelling of 253258642000 in words is "two hundred fifty-three billion, two hundred fifty-eight million, six hundred forty-two thousand".