253650321360 has 240 divisors, whose sum is σ = 871547730768. Its totient is φ = 66086092800.

The previous prime is 253650321289. The next prime is 253650321433. The reversal of 253650321360 is 63123056352.

253650321360 is a `hidden beast` number, since 2 + 536 + 50 + 3 + 2 + 13 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 66632129424 + 187018191936 = 258132^2 + 432456^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9182770 + ... + 9210350.

Almost surely, 2^253650321360 is an apocalyptic number.

253650321360 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 253650321360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435773865384).

253650321360 is an abundant number, since it is smaller than the sum of its proper divisors (617897409408).

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

253650321360 is a wasteful number, since it uses less digits than its factorization.

253650321360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27894 (or 27885 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 253650321360 in words is "two hundred fifty-three billion, six hundred fifty million, three hundred twenty-one thousand, three hundred sixty".