59980800000 has 672 divisors, whose sum is σ = 221156345088. Its totient is φ = 14336000000.

The previous prime is 59980799993. The next prime is 59980800013. The reversal of 59980800000 is 808995.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 844799965 + ... + 844800035.

It is an arithmetic number, because the mean of its divisors is an integer number (329101704).

Almost surely, 2^59980800000 is an apocalyptic number.

59980800000 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 59980800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110578172544).

59980800000 is an abundant number, since it is smaller than the sum of its proper divisors (161175545088).

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

59980800000 is an frugal number, since it uses more digits than its factorization.

59980800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The spelling of 59980800000 in words is "fifty-nine billion, nine hundred eighty million, eight hundred thousand".