59997764064 has 384 divisors, whose sum is σ = 202361241600. Its totient is φ = 15171287040.

The previous prime is 59997764039. The next prime is 59997764107. The reversal of 59997764064 is 46046779995.

59997764064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 59997763986 and 59997764004.

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, 11475819 + ... + 11481045.

It is an arithmetic number, because the mean of its divisors is an integer number (526982400).

Almost surely, 2^59997764064 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 59997764064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101180620800).

59997764064 is an abundant number, since it is smaller than the sum of its proper divisors (142363477536).

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

59997764064 is a wasteful number, since it uses less digits than its factorization.

59997764064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5326 (or 5318 counting only the distinct ones).

The product of its (nonzero) digits is 102876480, while the sum is 66.

The spelling of 59997764064 in words is "fifty-nine billion, nine hundred ninety-seven million, seven hundred sixty-four thousand, sixty-four".