128854886400 has 576 divisors, whose sum is σ = 501239793600. Its totient is φ = 32334151680.

The previous prime is 128854886393. The next prime is 128854886401. The reversal of 128854886400 is 4688458821.

128854886400 is a `hidden beast` number, since 1 + 28 + 85 + 488 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (128854886401) 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, 23498059 + ... + 23503541.

It is an arithmetic number, because the mean of its divisors is an integer number (870207975).

Almost surely, 2^128854886400 is an apocalyptic number.

128854886400 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 128854886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250619896800).

128854886400 is an abundant number, since it is smaller than the sum of its proper divisors (372384907200).

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

128854886400 is a wasteful number, since it uses less digits than its factorization.

128854886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5541 (or 5510 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 54.

The spelling of 128854886400 in words is "one hundred twenty-eight billion, eight hundred fifty-four million, eight hundred eighty-six thousand, four hundred".