251552543253440 has 224 divisors, whose sum is σ = 703840979814336. Its totient is φ = 84424073379840.

The previous prime is 251552543253391. The next prime is 251552543253461. The reversal of 251552543253440 is 44352345255152.

251552543253440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295779854 + ... + 296629106.

It is an arithmetic number, because the mean of its divisors is an integer number (3142147231314).

Almost surely, 2^{251552543253440} is an apocalyptic number.

251552543253440 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 251552543253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351920489907168).

251552543253440 is an abundant number, since it is smaller than the sum of its proper divisors (452288436560896).

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

251552543253440 is a wasteful number, since it uses less digits than its factorization.

251552543253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855767 (or 855757 counting only the distinct ones).

The product of its (nonzero) digits is 14400000, while the sum is 50.

The spelling of 251552543253440 in words is "two hundred fifty-one trillion, five hundred fifty-two billion, five hundred forty-three million, two hundred fifty-three thousand, four hundred forty".