59055648288 has 288 divisors, whose sum is σ = 205629508224. Its totient is φ = 14658674688.

The previous prime is 59055648287. The next prime is 59055648293. The reversal of 59055648288 is 88284655095.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (59055648287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1011181 + ... + 1067987.

It is an arithmetic number, because the mean of its divisors is an integer number (713991348).

Almost surely, 2^59055648288 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 59055648288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102814754112).

59055648288 is an abundant number, since it is smaller than the sum of its proper divisors (146573859936).

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

59055648288 is a wasteful number, since it uses less digits than its factorization.

59055648288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56864 (or 56849 counting only the distinct ones).

The product of its (nonzero) digits is 27648000, while the sum is 60.

The spelling of 59055648288 in words is "fifty-nine billion, fifty-five million, six hundred forty-eight thousand, two hundred eighty-eight".