59913403934496 has 768 divisors, whose sum is σ = 192870081331200. Its totient is φ = 15906531852288.

The previous prime is 59913403934491. The next prime is 59913403934497. The reversal of 59913403934496 is 69443930431995.

59913403934496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 59913403934496.

It is not an unprimeable number, because it can be changed into a prime (59913403934491) 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 127 ways as a sum of consecutive naturals, for example, 82411834485 + ... + 82411835211.

It is an arithmetic number, because the mean of its divisors is an integer number (251132918400).

Almost surely, 2^{59913403934496} is an apocalyptic number.

59913403934496 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59913403934496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96435040665600).

59913403934496 is an abundant number, since it is smaller than the sum of its proper divisors (132956677396704).

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

59913403934496 is a wasteful number, since it uses less digits than its factorization.

59913403934496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 340122240, while the sum is 69.

The spelling of 59913403934496 in words is "fifty-nine trillion, nine hundred thirteen billion, four hundred three million, nine hundred thirty-four thousand, four hundred ninety-six".