5267088000 has 384 divisors, whose sum is σ = 19196236800. Its totient is φ = 1383782400.

The previous prime is 5267087993. The next prime is 5267088011. The reversal of 5267088000 is 8807625.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11375769 + ... + 11376231.

It is an arithmetic number, because the mean of its divisors is an integer number (49990200).

Almost surely, 2^5267088000 is an apocalyptic number.

5267088000 is a gapful number since it is divisible by the number (50) 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 5267088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9598118400).

5267088000 is an abundant number, since it is smaller than the sum of its proper divisors (13929148800).

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

5267088000 is a wasteful number, since it uses less digits than its factorization.

5267088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5267088000 is about 72574.7063376766. The cubic root of 5267088000 is about 1739.8969419738.

The spelling of 5267088000 in words is "five billion, two hundred sixty-seven million, eighty-eight thousand".