59648075881920 has 336 divisors, whose sum is σ = 206485048791840. Its totient is φ = 15803833909248.

The previous prime is 59648075881873. The next prime is 59648075881931. The reversal of 59648075881920 is 2918857084695.

59648075881920 is a `hidden beast` number, since 5 + 9 + 6 + 4 + 8 + 0 + 7 + 588 + 19 + 20 = 666.

59648075881920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1735502496 + ... + 1735536864.

It is an arithmetic number, because the mean of its divisors is an integer number (614538835690).

Almost surely, 2^{59648075881920} 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 59648075881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103242524395920).

59648075881920 is an abundant number, since it is smaller than the sum of its proper divisors (146836972909920).

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

59648075881920 is a wasteful number, since it uses less digits than its factorization.

59648075881920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38252 (or 38239 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 72.

The spelling of 59648075881920 in words is "fifty-nine trillion, six hundred forty-eight billion, seventy-five million, eight hundred eighty-one thousand, nine hundred twenty".