128811157200 has 600 divisors, whose sum is σ = 511331278656. Its totient is φ = 30792960000.

The previous prime is 128811157159. The next prime is 128811157219. The reversal of 128811157200 is 2751118821.

128811157200 is a `hidden beast` number, since 1 + 2 + 8 + 81 + 1 + 1 + 572 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×128811157200² (a number of 23 digits) contains 22 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 119 ways as a sum of consecutive naturals, for example, 26014725 + ... + 26019675.

Almost surely, 2^128811157200 is an apocalyptic number.

128811157200 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 128811157200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255665639328).

128811157200 is an abundant number, since it is smaller than the sum of its proper divisors (382520121456).

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

128811157200 is a wasteful number, since it uses less digits than its factorization.

128811157200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5065 (or 5045 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 36.

The spelling of 128811157200 in words is "one hundred twenty-eight billion, eight hundred eleven million, one hundred fifty-seven thousand, two hundred".