5288775980544 has 1280 divisors, whose sum is σ = 19134061056000. Its totient is φ = 1428184203264.

The previous prime is 5288775980539. The next prime is 5288775980569. The reversal of 5288775980544 is 4450895778825.

5288775980544 is a `hidden beast` number, since 5 + 2 + 8 + 8 + 7 + 75 + 9 + 8 + 0 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 127 ways as a sum of consecutive naturals, for example, 12047325477 + ... + 12047325915.

It is an arithmetic number, because the mean of its divisors is an integer number (14948485200).

Almost surely, 2^{5288775980544} is an apocalyptic number.

5288775980544 is a gapful number since it is divisible by the number (54) 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 5288775980544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9567030528000).

5288775980544 is an abundant number, since it is smaller than the sum of its proper divisors (13845285075456).

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

5288775980544 is an frugal number, since it uses more digits than its factorization.

5288775980544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 903168000, while the sum is 72.

The spelling of 5288775980544 in words is "five trillion, two hundred eighty-eight billion, seven hundred seventy-five million, nine hundred eighty thousand, five hundred forty-four".