5267536886304 has 1536 divisors, whose sum is σ = 20624589619200. Its totient is φ = 1283898470400.

The previous prime is 5267536886273. The next prime is 5267536886387. The reversal of 5267536886304 is 4036886357625.

5267536886304 is a `hidden beast` number, since 5 + 2 + 67 + 536 + 8 + 8 + 6 + 30 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5782147609 + ... + 5782148519.

It is an arithmetic number, because the mean of its divisors is an integer number (13427467200).

Almost surely, 2^{5267536886304} is an apocalyptic number.

5267536886304 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 5267536886304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10312294809600).

5267536886304 is an abundant number, since it is smaller than the sum of its proper divisors (15357052732896).

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

5267536886304 is a wasteful number, since it uses less digits than its factorization.

5267536886304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 5267536886304 in words is "five trillion, two hundred sixty-seven billion, five hundred thirty-six million, eight hundred eighty-six thousand, three hundred four".