253386616420 has 192 divisors, whose sum is σ = 639700992000. Its totient is φ = 82484075520.

The previous prime is 253386616391. The next prime is 253386616421. The reversal of 253386616420 is 24616683352.

It is not an unprimeable number, because it can be changed into a prime (253386616421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63045171 + ... + 63049189.

It is an arithmetic number, because the mean of its divisors is an integer number (3331776000).

Almost surely, 2^253386616420 is an apocalyptic number.

253386616420 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 253386616420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319850496000).

253386616420 is an abundant number, since it is smaller than the sum of its proper divisors (386314375580).

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

253386616420 is a wasteful number, since it uses less digits than its factorization.

253386616420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4338 (or 4336 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 46.

The spelling of 253386616420 in words is "two hundred fifty-three billion, three hundred eighty-six million, six hundred sixteen thousand, four hundred twenty".