253621566660 has 288 divisors, whose sum is σ = 930254008320. Its totient is φ = 51000364800.

The previous prime is 253621566643. The next prime is 253621566673. The reversal of 253621566660 is 66665126352.

253621566660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 876051 + ... + 1129029.

It is an arithmetic number, because the mean of its divisors is an integer number (3230048640).

Almost surely, 2^253621566660 is an apocalyptic number.

253621566660 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 253621566660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465127004160).

253621566660 is an abundant number, since it is smaller than the sum of its proper divisors (676632441660).

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

253621566660 is a wasteful number, since it uses less digits than its factorization.

253621566660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253047 (or 253038 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 48.

The spelling of 253621566660 in words is "two hundred fifty-three billion, six hundred twenty-one million, five hundred sixty-six thousand, six hundred sixty".