59680800000 has 648 divisors, whose sum is σ = 223771740192. Its totient is φ = 15863040000.

The previous prime is 59680799953. The next prime is 59680800001. The reversal of 59680800000 is 808695.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59680800001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 194399847 + ... + 194400153.

Almost surely, 2^59680800000 is an apocalyptic number.

59680800000 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 59680800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111885870096).

59680800000 is an abundant number, since it is smaller than the sum of its proper divisors (164090940192).

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

59680800000 is an frugal number, since it uses more digits than its factorization.

59680800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 59680800000 in words is "fifty-nine billion, six hundred eighty million, eight hundred thousand".