5088571766784 has 480 divisors, whose sum is σ = 16600874209920. Its totient is φ = 1540137369600.

The previous prime is 5088571766783. The next prime is 5088571766821. The reversal of 5088571766784 is 4876671758805.

It is a happy number.

5088571766784 is a `hidden beast` number, since 508 + 8 + 57 + 1 + 7 + 6 + 67 + 8 + 4 = 666.

It is a super-2 number, since 2×5088571766784² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5088571766783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2779120749 + ... + 2779122579.

It is an arithmetic number, because the mean of its divisors is an integer number (34585154604).

Almost surely, 2^{5088571766784} is an apocalyptic number.

5088571766784 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 5088571766784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8300437104960).

5088571766784 is an abundant number, since it is smaller than the sum of its proper divisors (11512302443136).

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

5088571766784 is a wasteful number, since it uses less digits than its factorization.

5088571766784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3399 (or 3370 counting only the distinct ones).

The product of its (nonzero) digits is 632217600, while the sum is 72.

The spelling of 5088571766784 in words is "five trillion, eighty-eight billion, five hundred seventy-one million, seven hundred sixty-six thousand, seven hundred eighty-four".