128400185088 has 432 divisors, whose sum is σ = 458444802816. Its totient is φ = 33721712640.

The previous prime is 128400185083. The next prime is 128400185149. The reversal of 128400185088 is 880581004821.

128400185088 is a `hidden beast` number, since 128 + 4 + 0 + 0 + 18 + 508 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128400185083) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11784123 + ... + 11795013.

Almost surely, 2^128400185088 is an apocalyptic number.

128400185088 is a gapful number since it is divisible by the number (18) 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 128400185088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229222401408).

128400185088 is an abundant number, since it is smaller than the sum of its proper divisors (330044617728).

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

128400185088 is a wasteful number, since it uses less digits than its factorization.

128400185088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10980 (or 10963 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 45.

The spelling of 128400185088 in words is "one hundred twenty-eight billion, four hundred million, one hundred eighty-five thousand, eighty-eight".