59138664089568 has 288 divisors, whose sum is σ = 190577334729600. Its totient is φ = 15966298285056.

The previous prime is 59138664089563. The next prime is 59138664089597. The reversal of 59138664089568 is 86598046683195.

It is a junction number, because it is equal to n+sod(n) for n = 59138664089493 and 59138664089502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59138664089563) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33916771 + ... + 35617757.

It is an arithmetic number, because the mean of its divisors is an integer number (661726856700).

Almost surely, 2^{59138664089568} 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 59138664089568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95288667364800).

59138664089568 is an abundant number, since it is smaller than the sum of its proper divisors (131438670640032).

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

59138664089568 is a wasteful number, since it uses less digits than its factorization.

59138664089568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701422 (or 1701407 counting only the distinct ones).

The product of its (nonzero) digits is 2687385600, while the sum is 78.

The spelling of 59138664089568 in words is "fifty-nine trillion, one hundred thirty-eight billion, six hundred sixty-four million, eighty-nine thousand, five hundred sixty-eight".