5288580121440 has 1152 divisors, whose sum is σ = 22425120926208. Its totient is φ = 1032391557120.

The previous prime is 5288580121411. The next prime is 5288580121453. The reversal of 5288580121440 is 441210858825.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5288580121440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4455416527 + ... + 4455417713.

It is an arithmetic number, because the mean of its divisors is an integer number (19466250804).

Almost surely, 2^{5288580121440} 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 5288580121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11212560463104).

5288580121440 is an abundant number, since it is smaller than the sum of its proper divisors (17136540804768).

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

5288580121440 is a wasteful number, since it uses less digits than its factorization.

5288580121440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 48.

The spelling of 5288580121440 in words is "five trillion, two hundred eighty-eight billion, five hundred eighty million, one hundred twenty-one thousand, four hundred forty".