253249216640 has 192 divisors, whose sum is σ = 709825213440. Its totient is φ = 86143260672.

The previous prime is 253249216621. The next prime is 253249216667. The reversal of 253249216640 is 46612942352.

It is a junction number, because it is equal to n+sod(n) for n = 253249216591 and 253249216600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3950927 + ... + 4014513.

It is an arithmetic number, because the mean of its divisors is an integer number (3697006320).

Almost surely, 2^253249216640 is an apocalyptic number.

253249216640 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 253249216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354912606720).

253249216640 is an abundant number, since it is smaller than the sum of its proper divisors (456575996800).

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

253249216640 is a wasteful number, since it uses less digits than its factorization.

253249216640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63747 (or 63728 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 44.

The spelling of 253249216640 in words is "two hundred fifty-three billion, two hundred forty-nine million, two hundred sixteen thousand, six hundred forty".