253947545600 has 144 divisors (see below), whose sum is σ = 719585193600. Its totient is φ = 87067607040.

The previous prime is 253947545597. The next prime is 253947545603. The reversal of 253947545600 is 6545749352.

It is an interprime number because it is at equal distance from previous prime (253947545597) and next prime (253947545603).

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253947545603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4121 + ... + 712679.

It is an arithmetic number, because the mean of its divisors is an integer number (4997119400).

Almost surely, 2^253947545600 is an apocalyptic number.

253947545600 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 253947545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359792596800).

253947545600 is an abundant number, since it is smaller than the sum of its proper divisors (465637648000).

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

253947545600 is an equidigital number, since it uses as much as digits as its factorization.

253947545600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708598 (or 708573 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 50.

The spelling of 253947545600 in words is "two hundred fifty-three billion, nine hundred forty-seven million, five hundred forty-five thousand, six hundred".