5267657738448 has 480 divisors, whose sum is σ = 17616160390400. Its totient is φ = 1468620937728.

The previous prime is 5267657738437. The next prime is 5267657738477. The reversal of 5267657738448 is 8448377567625.

5267657738448 is a `hidden beast` number, since 5 + 2 + 6 + 7 + 6 + 577 + 3 + 8 + 4 + 48 = 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5099377740 + ... + 5099378772.

Almost surely, 2^{5267657738448} 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 5267657738448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8808080195200).

5267657738448 is an abundant number, since it is smaller than the sum of its proper divisors (12348502651952).

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

5267657738448 is an frugal number, since it uses more digits than its factorization.

5267657738448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1088 counting only the distinct ones).

The product of its digits is 1896652800, while the sum is 72.

The spelling of 5267657738448 in words is "five trillion, two hundred sixty-seven billion, six hundred fifty-seven million, seven hundred thirty-eight thousand, four hundred forty-eight".