253791426900 has 144 divisors (see below), whose sum is σ = 801258716160. Its totient is φ = 61509782400.

The previous prime is 253791426859. The next prime is 253791426929. The reversal of 253791426900 is 9624197352.

It is a super-2 number, since 2×253791426900² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 253791426900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18628291 + ... + 18641909.

It is an arithmetic number, because the mean of its divisors is an integer number (5564296640).

Almost surely, 2^253791426900 is an apocalyptic number.

253791426900 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 253791426900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400629358080).

253791426900 is an abundant number, since it is smaller than the sum of its proper divisors (547467289260).

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

253791426900 is a wasteful number, since it uses less digits than its factorization.

253791426900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19294 (or 19287 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 253791426900 in words is "two hundred fifty-three billion, seven hundred ninety-one million, four hundred twenty-six thousand, nine hundred".