128536329600 has 1152 divisors, whose sum is σ = 554616064800. Its totient is φ = 28983951360.

The previous prime is 128536329521. The next prime is 128536329619. The reversal of 128536329600 is 6923635821.

128536329600 is a `hidden beast` number, since 1 + 2 + 8 + 5 + 3 + 6 + 32 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 410659044 + ... + 410659356.

Almost surely, 2^128536329600 is an apocalyptic number.

128536329600 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 128536329600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277308032400).

128536329600 is an abundant number, since it is smaller than the sum of its proper divisors (426079735200).

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

128536329600 is a wasteful number, since it uses less digits than its factorization.

128536329600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 128536329600 in words is "one hundred twenty-eight billion, five hundred thirty-six million, three hundred twenty-nine thousand, six hundred".