559977255936 has 616 divisors, whose sum is σ = 1958147099200. Its totient is φ = 159993501696.

The previous prime is 559977255931. The next prime is 559977255949. The reversal of 559977255936 is 639552779955.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

559977255936 is a `hidden beast` number, since 5 + 5 + 9 + 9 + 7 + 7 + 25 + 593 + 6 = 666.

It is a super-2 number, since 2×559977255936² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (803722500) is a multiple of the sum of its prime divisors (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (559977255931) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 79996750845 + ... + 79996750851.

Almost surely, 2^559977255936 is an apocalyptic number.

559977255936 is a gapful number since it is divisible by the number (56) 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 559977255936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979073549600).

559977255936 is an abundant number, since it is smaller than the sum of its proper divisors (1398169843264).

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

559977255936 is an frugal number, since it uses more digits than its factorization.

559977255936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 12 counting only the distinct ones).

The product of its digits is 803722500, while the sum is 72.

The spelling of 559977255936 in words is "five hundred fifty-nine billion, nine hundred seventy-seven million, two hundred fifty-five thousand, nine hundred thirty-six".