128999286374400 has 3192 divisors, whose sum is σ = 541175181849344. Its totient is φ = 30270711398400.

The previous prime is 128999286374377. The next prime is 128999286374501. The reversal of 128999286374400 is 4473682999821.

128999286374400 is a `hidden beast` number, since 1 + 2 + 8 + 9 + 9 + 92 + 8 + 63 + 74 + 400 = 666.

It is a super-2 number, since 2×128999286374400² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1925362483167 + ... + 1925362483233.

Almost surely, 2^{128999286374400} is an apocalyptic number.

128999286374400 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 128999286374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270587590924672).

128999286374400 is an abundant number, since it is smaller than the sum of its proper divisors (412175895474944).

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

128999286374400 is an frugal number, since it uses more digits than its factorization.

128999286374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 128999286374400 in words is "one hundred twenty-eight trillion, nine hundred ninety-nine billion, two hundred eighty-six million, three hundred seventy-four thousand, four hundred".