59561048832768 has 2160 divisors, whose sum is σ = 222069631601664. Its totient is φ = 15794023956480.

The previous prime is 59561048832737. The next prime is 59561048832793. The reversal of 59561048832768 is 86723884016595.

59561048832768 is a `hidden beast` number, since 5 + 9 + 5 + 61 + 0 + 488 + 3 + 27 + 68 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 59561048832696 and 59561048832705.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 231755053696 + ... + 231755053952.

It is a 1-persistent number, because it is pandigital, but 2⋅59561048832768 = 119122097665536 is not.

Almost surely, 2^{59561048832768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59561048832768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111034815800832).

59561048832768 is an abundant number, since it is smaller than the sum of its proper divisors (162508582768896).

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

59561048832768 is a wasteful number, since it uses less digits than its factorization.

59561048832768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 72.

The spelling of 59561048832768 in words is "fifty-nine trillion, five hundred sixty-one billion, forty-eight million, eight hundred thirty-two thousand, seven hundred sixty-eight".