59801121408 has 256 divisors, whose sum is σ = 192556742400. Its totient is φ = 16052649984.

The previous prime is 59801121371. The next prime is 59801121427. The reversal of 59801121408 is 80412110895.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46106616 + ... + 46107912.

It is an arithmetic number, because the mean of its divisors is an integer number (752174775).

Almost surely, 2^59801121408 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 59801121408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96278371200).

59801121408 is an abundant number, since it is smaller than the sum of its proper divisors (132755620992).

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

59801121408 is a wasteful number, since it uses less digits than its factorization.

59801121408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2347 (or 2335 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 39.

The spelling of 59801121408 in words is "fifty-nine billion, eight hundred one million, one hundred twenty-one thousand, four hundred eight".