253215204660 has 288 divisors, whose sum is σ = 864689664384. Its totient is φ = 59439744000.

The previous prime is 253215204637. The next prime is 253215204667. The reversal of 253215204660 is 66402512352.

253215204660 is a `hidden beast` number, since 2 + 5 + 32 + 1 + 520 + 46 + 60 = 666.

It is a super-4 number, since 4×253215204660⁴ (a number of 47 digits) contains 4444 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 not an unprimeable number, because it can be changed into a prime (253215204667) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15449670 + ... + 15466050.

It is an arithmetic number, because the mean of its divisors is an integer number (3002394668).

Almost surely, 2^253215204660 is an apocalyptic number.

253215204660 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 253215204660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432344832192).

253215204660 is an abundant number, since it is smaller than the sum of its proper divisors (611474459724).

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

253215204660 is a wasteful number, since it uses less digits than its factorization.

253215204660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16655 (or 16650 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 253215204660 in words is "two hundred fifty-three billion, two hundred fifteen million, two hundred four thousand, six hundred sixty".