59530463616 has 384 divisors, whose sum is σ = 178906890240. Its totient is φ = 17511137280.

The previous prime is 59530463593. The next prime is 59530463627. The reversal of 59530463616 is 61636403595.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 255495436 + ... + 255495668.

It is an arithmetic number, because the mean of its divisors is an integer number (465903360).

Almost surely, 2^59530463616 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 59530463616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89453445120).

59530463616 is an abundant number, since it is smaller than the sum of its proper divisors (119376426624).

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

59530463616 is a wasteful number, since it uses less digits than its factorization.

59530463616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 48.

The spelling of 59530463616 in words is "fifty-nine billion, five hundred thirty million, four hundred sixty-three thousand, six hundred sixteen".