5305689600 has 240 divisors, whose sum is σ = 17631920592. Its totient is φ = 1406402560.

The previous prime is 5305689553. The next prime is 5305689617. The reversal of 5305689600 is 69865035.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8946904 + ... + 8947496.

Almost surely, 2^5305689600 is an apocalyptic number.

5305689600 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 5305689600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8815960296).

5305689600 is an abundant number, since it is smaller than the sum of its proper divisors (12326230992).

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

5305689600 is a wasteful number, since it uses less digits than its factorization.

5305689600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 5305689600 is about 72840.1647444595. The cubic root of 5305689600 is about 1744.1370708414.

The spelling of 5305689600 in words is "five billion, three hundred five million, six hundred eighty-nine thousand, six hundred".