5261292800 has 108 divisors (see below), whose sum is σ = 13300357056. Its totient is φ = 2059622400.

The previous prime is 5261292767. The next prime is 5261292823. The reversal of 5261292800 is 82921625.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 292055 + ... + 309545.

Almost surely, 2^5261292800 is an apocalyptic number.

5261292800 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 5261292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6650178528).

5261292800 is an abundant number, since it is smaller than the sum of its proper divisors (8039064256).

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

5261292800 is a wasteful number, since it uses less digits than its factorization.

5261292800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17564 (or 17545 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 5261292800 is about 72534.7695936232. The cubic root of 5261292800 is about 1739.2585910777.

The spelling of 5261292800 in words is "five billion, two hundred sixty-one million, two hundred ninety-two thousand, eight hundred".