128887948425600 has 2592 divisors, whose sum is σ = 581695603295040. Its totient is φ = 27081879552000.

The previous prime is 128887948425571. The next prime is 128887948425631. The reversal of 128887948425600 is 6524849788821.

128887948425600 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 8 + 7 + 9 + 4 + 8 + 4 + 2 + 5 + 600 = 666.

It is a super-2 number, since 2×128887948425600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 66062504625 + ... + 66062506575.

Almost surely, 2^{128887948425600} is an apocalyptic number.

128887948425600 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 128887948425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290847801647520).

128887948425600 is an abundant number, since it is smaller than the sum of its proper divisors (452807654869440).

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

128887948425600 is a wasteful number, since it uses less digits than its factorization.

128887948425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2298 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 495452160, while the sum is 72.

The spelling of 128887948425600 in words is "one hundred twenty-eight trillion, eight hundred eighty-seven billion, nine hundred forty-eight million, four hundred twenty-five thousand, six hundred".