608559025536 has 512 divisors, whose sum is σ = 2316532608000. Its totient is φ = 152614748160.

The previous prime is 608559025513. The next prime is 608559025561. The reversal of 608559025536 is 635520955806.

608559025536 is a `hidden beast` number, since 6 + 0 + 8 + 559 + 0 + 2 + 55 + 36 = 666.

It is a super-2 number, since 2×608559025536² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7677820 + ... + 7756676.

It is an arithmetic number, because the mean of its divisors is an integer number (4524477750).

Almost surely, 2^608559025536 is an apocalyptic number.

608559025536 is a gapful number since it is divisible by the number (66) 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 608559025536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158266304000).

608559025536 is an abundant number, since it is smaller than the sum of its proper divisors (1707973582464).

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

608559025536 is a wasteful number, since it uses less digits than its factorization.

608559025536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78927 (or 78909 counting only the distinct ones).

The product of its (nonzero) digits is 9720000, while the sum is 54.

It can be divided in two parts, 608559025 and 536, that added together give a square (608559561 = 24669²).

The spelling of 608559025536 in words is "six hundred eight billion, five hundred fifty-nine million, twenty-five thousand, five hundred thirty-six".