5251207265280 has 528 divisors, whose sum is σ = 19270035892224. Its totient is φ = 1319428915200.

The previous prime is 5251207265273. The next prime is 5251207265333. The reversal of 5251207265280 is 825627021525.

5251207265280 is a `hidden beast` number, since 5 + 2 + 51 + 2 + 0 + 72 + 6 + 528 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 70972305 + ... + 71046255.

Almost surely, 2^{5251207265280} 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 5251207265280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9635017946112).

5251207265280 is an abundant number, since it is smaller than the sum of its proper divisors (14018828626944).

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

5251207265280 is a wasteful number, since it uses less digits than its factorization.

5251207265280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74072 (or 74051 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 5251207265280 in words is "five trillion, two hundred fifty-one billion, two hundred seven million, two hundred sixty-five thousand, two hundred eighty".