5275317600 has 864 divisors, whose sum is σ = 23164517376. Its totient is φ = 1102233600.

The previous prime is 5275317589. The next prime is 5275317631. The reversal of 5275317600 is 67135725.

5275317600 is a `hidden beast` number, since 52 + 7 + 531 + 76 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40269535 + ... + 40269665.

It is an arithmetic number, because the mean of its divisors is an integer number (26810784).

Almost surely, 2^5275317600 is an apocalyptic number.

5275317600 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 5275317600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11582258688).

5275317600 is an abundant number, since it is smaller than the sum of its proper divisors (17889199776).

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

5275317600 is a wasteful number, since it uses less digits than its factorization.

5275317600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 5275317600 is about 72631.3816473293. The cubic root of 5275317600 is about 1740.8026419805.

The spelling of 5275317600 in words is "five billion, two hundred seventy-five million, three hundred seventeen thousand, six hundred".