59034156672 has 192 divisors, whose sum is σ = 166217486400. Its totient is φ = 18529099776.

The previous prime is 59034156653. The next prime is 59034156673. The reversal of 59034156672 is 27665143095.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (59034156673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39646104 + ... + 39647592.

It is an arithmetic number, because the mean of its divisors is an integer number (865716075).

Almost surely, 2^59034156672 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 59034156672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83108743200).

59034156672 is an abundant number, since it is smaller than the sum of its proper divisors (107183329728).

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

59034156672 is a wasteful number, since it uses less digits than its factorization.

59034156672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The spelling of 59034156672 in words is "fifty-nine billion, thirty-four million, one hundred fifty-six thousand, six hundred seventy-two".