5265496800 has 288 divisors, whose sum is σ = 19128463200. Its totient is φ = 1397882880.

The previous prime is 5265496787. The next prime is 5265496813. The reversal of 5265496800 is 86945625.

5265496800 is a `hidden beast` number, since 5 + 26 + 549 + 6 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5265496787) and next prime (5265496813).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 6846816 + ... + 6847584.

It is an arithmetic number, because the mean of its divisors is an integer number (66418275).

Almost surely, 2^5265496800 is an apocalyptic number.

5265496800 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 5265496800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9564231600).

5265496800 is an abundant number, since it is smaller than the sum of its proper divisors (13862966400).

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

5265496800 is a wasteful number, since it uses less digits than its factorization.

5265496800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 5265496800 is about 72563.7430126093. The cubic root of 5265496800 is about 1739.7217153050.

The spelling of 5265496800 in words is "five billion, two hundred sixty-five million, four hundred ninety-six thousand, eight hundred".