5261273600 has 360 divisors, whose sum is σ = 14846758080. Its totient is φ = 1845043200.

The previous prime is 5261273597. The next prime is 5261273657. The reversal of 5261273600 is 63721625.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66598361 + ... + 66598439.

Almost surely, 2^5261273600 is an apocalyptic number.

5261273600 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 5261273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7423379040).

5261273600 is an abundant number, since it is smaller than the sum of its proper divisors (9585484480).

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

5261273600 is a wasteful number, since it uses less digits than its factorization.

5261273600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 5261273600 is about 72534.6372431820. The cubic root of 5261273600 is about 1739.2564753869.

The spelling of 5261273600 in words is "five billion, two hundred sixty-one million, two hundred seventy-three thousand, six hundred".