5277126466560 has 704 divisors, whose sum is σ = 19250472729600. Its totient is φ = 1223101513728.

The previous prime is 5277126466537. The next prime is 5277126466561. The reversal of 5277126466560 is 656646217725.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 5277126466560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5277126466561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 633580476 + ... + 633588804.

Almost surely, 2^{5277126466560} 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 5277126466560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9625236364800).

5277126466560 is an abundant number, since it is smaller than the sum of its proper divisors (13973346263040).

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

5277126466560 is a wasteful number, since it uses less digits than its factorization.

5277126466560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8556 (or 8538 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 57.

The spelling of 5277126466560 in words is "five trillion, two hundred seventy-seven billion, one hundred twenty-six million, four hundred sixty-six thousand, five hundred sixty".