128607312600 has 1152 divisors, whose sum is σ = 507747502080. Its totient is φ = 30046464000.

The previous prime is 128607312577. The next prime is 128607312611. The reversal of 128607312600 is 6213706821.

128607312600 is a `hidden beast` number, since 1 + 28 + 607 + 3 + 1 + 26 + 0 + 0 = 666.

It is a super-4 number, since 4×128607312600⁴ (a number of 46 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 1811370565 + ... + 1811370635.

It is an arithmetic number, because the mean of its divisors is an integer number (440753040).

Almost surely, 2^128607312600 is an apocalyptic number.

128607312600 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 128607312600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253873751040).

128607312600 is an abundant number, since it is smaller than the sum of its proper divisors (379140189480).

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

128607312600 is a wasteful number, since it uses less digits than its factorization.

128607312600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 128607312600 in words is "one hundred twenty-eight billion, six hundred seven million, three hundred twelve thousand, six hundred".