59520000000000 has 748 divisors, whose sum is σ = 204798433305728. Its totient is φ = 15360000000000.

The previous prime is 59519999999983. The next prime is 59520000000023. The reversal of 59520000000000 is 2595.

It is a junction number, because it is equal to n+sod(n) for n = 59519999999895 and 59519999999904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 1919999999985 + ... + 1920000000015.

Almost surely, 2^{59520000000000} is an apocalyptic number.

59520000000000 is a gapful number since it is divisible by the number (50) 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 59520000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102399216652864).

59520000000000 is an abundant number, since it is smaller than the sum of its proper divisors (145278433305728).

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

59520000000000 is an frugal number, since it uses more digits than its factorization.

59520000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

Adding to 59520000000000 its reverse (2595), we get a palindrome (59520000002595).

The spelling of 59520000000000 in words is "fifty-nine trillion, five hundred twenty billion", and thus it is an aban number.