253850273376 has 288 divisors, whose sum is σ = 842277381120. Its totient is φ = 66494131200.

The previous prime is 253850273353. The next prime is 253850273399. The reversal of 253850273376 is 673372058352.

253850273376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (253850273353) and next prime (253850273399).

It is a super-2 number, since 2×253850273376² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2724846 + ... + 2816466.

It is an arithmetic number, because the mean of its divisors is an integer number (2924574240).

Almost surely, 2^253850273376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253850273376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421138690560).

253850273376 is an abundant number, since it is smaller than the sum of its proper divisors (588427107744).

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

253850273376 is a wasteful number, since it uses less digits than its factorization.

253850273376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91698 (or 91683 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 51.

The spelling of 253850273376 in words is "two hundred fifty-three billion, eight hundred fifty million, two hundred seventy-three thousand, three hundred seventy-six".