61328598000 has 160 divisors (see below), whose sum is σ = 199169305920. Its totient is φ = 16234700800.

The previous prime is 61328597959. The next prime is 61328598029. The reversal of 61328598000 is 89582316.

61328598000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×61328598000² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 784696 + ... + 859304.

It is an arithmetic number, because the mean of its divisors is an integer number (1244808162).

Almost surely, 2^61328598000 is an apocalyptic number.

61328598000 is a gapful number since it is divisible by the number (60) 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 61328598000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99584652960).

61328598000 is an abundant number, since it is smaller than the sum of its proper divisors (137840707920).

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

61328598000 is a wasteful number, since it uses less digits than its factorization.

61328598000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74772 (or 74756 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 61328598000 in words is "sixty-one billion, three hundred twenty-eight million, five hundred ninety-eight thousand".