128915209879200 has 1728 divisors, whose sum is σ = 490115121874560. Its totient is φ = 31820941393920.

The previous prime is 128915209879153. The next prime is 128915209879213. The reversal of 128915209879200 is 2978902519821.

128915209879200 is a `hidden beast` number, since 1 + 2 + 8 + 9 + 1 + 520 + 9 + 87 + 9 + 20 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 228979058119 + ... + 228979058681.

It is an arithmetic number, because the mean of its divisors is an integer number (283631436270).

Almost surely, 2^{128915209879200} is an apocalyptic number.

128915209879200 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 128915209879200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245057560937280).

128915209879200 is an abundant number, since it is smaller than the sum of its proper divisors (361199911995360).

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

128915209879200 is a wasteful number, since it uses less digits than its factorization.

128915209879200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 63.

The spelling of 128915209879200 in words is "one hundred twenty-eight trillion, nine hundred fifteen billion, two hundred nine million, eight hundred seventy-nine thousand, two hundred".