5608735255200 has 1728 divisors, whose sum is σ = 23822195281920. Its totient is φ = 1133024256000.

The previous prime is 5608735255153. The next prime is 5608735255241. The reversal of 5608735255200 is 25525378065.

It is a super-2 number, since 2×5608735255200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5608735255200.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7255802014 + ... + 7255802786.

It is an arithmetic number, because the mean of its divisors is an integer number (13785992640).

Almost surely, 2^{5608735255200} is an apocalyptic number.

5608735255200 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 5608735255200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11911097640960).

5608735255200 is an abundant number, since it is smaller than the sum of its proper divisors (18213460026720).

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

5608735255200 is a wasteful number, since it uses less digits than its factorization.

5608735255200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 2520000, while the sum is 48.

The spelling of 5608735255200 in words is "five trillion, six hundred eight billion, seven hundred thirty-five million, two hundred fifty-five thousand, two hundred".