5261260800 has 144 divisors (see below), whose sum is σ = 17393496120. Its totient is φ = 1402961920.

The previous prime is 5261260799. The next prime is 5261260801. The reversal of 5261260800 is 80621625.

It is an interprime number because it is at equal distance from previous prime (5261260799) and next prime (5261260801).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5261260801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136474 + ... + 170726.

Almost surely, 2^5261260800 is an apocalyptic number.

5261260800 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 5261260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8696748060).

5261260800 is an abundant number, since it is smaller than the sum of its proper divisors (12132235320).

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

5261260800 is a wasteful number, since it uses less digits than its factorization.

5261260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34288 (or 34263 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 5261260800 is about 72534.5490094203. The cubic root of 5261260800 is about 1739.2550649236.

The spelling of 5261260800 in words is "five billion, two hundred sixty-one million, two hundred sixty thousand, eight hundred".