959428198080 has 672 divisors, whose sum is σ = 3717368036928. Its totient is φ = 225076838400.

The previous prime is 959428198073. The next prime is 959428198181. The reversal of 959428198080 is 80891824959.

959428198080 is a `hidden beast` number, since 9 + 59 + 428 + 1 + 9 + 80 + 80 = 666.

959428198080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 959428197999 and 959428198017.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 226224760 + ... + 226229000.

It is an arithmetic number, because the mean of its divisors is an integer number (5531797674).

Almost surely, 2^959428198080 is an apocalyptic number.

959428198080 is a gapful number since it is divisible by the number (90) 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 959428198080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1858684018464).

959428198080 is an abundant number, since it is smaller than the sum of its proper divisors (2757939838848).

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

959428198080 is a wasteful number, since it uses less digits than its factorization.

959428198080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4505 (or 4492 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 63.

The spelling of 959428198080 in words is "nine hundred fifty-nine billion, four hundred twenty-eight million, one hundred ninety-eight thousand, eighty".