128598874455040 has 352 divisors, whose sum is σ = 340535085133824. Its totient is φ = 46208329973760.

The previous prime is 128598874454993. The next prime is 128598874455043. The reversal of 128598874455040 is 40554478895821.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×128598874455040² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128598874455043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3534568689 + ... + 3534605071.

Almost surely, 2^{128598874455040} is an apocalyptic number.

128598874455040 is a gapful number since it is divisible by the number (10) 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 128598874455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170267542566912).

128598874455040 is an abundant number, since it is smaller than the sum of its proper divisors (211936210678784).

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

128598874455040 is a wasteful number, since it uses less digits than its factorization.

128598874455040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37163 (or 37145 counting only the distinct ones).

The product of its (nonzero) digits is 516096000, while the sum is 70.

The spelling of 128598874455040 in words is "one hundred twenty-eight trillion, five hundred ninety-eight billion, eight hundred seventy-four million, four hundred fifty-five thousand, forty".