128464139059200 has 3168 divisors, whose sum is σ = 584169100070400. Its totient is φ = 26309359042560.

The previous prime is 128464139059199. The next prime is 128464139059241. The reversal of 128464139059200 is 2950931464821.

It is a happy number.

128464139059200 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 6 + 41 + 3 + 9 + 0 + 592 + 0 + 0 = 666.

It is a super-2 number, since 2×128464139059200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1443417292756 + ... + 1443417292844.

Almost surely, 2^{128464139059200} is an apocalyptic number.

128464139059200 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 128464139059200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292084550035200).

128464139059200 is an abundant number, since it is smaller than the sum of its proper divisors (455704961011200).

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

128464139059200 is an frugal number, since it uses more digits than its factorization.

128464139059200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 128464139059200 in words is "one hundred twenty-eight trillion, four hundred sixty-four billion, one hundred thirty-nine million, fifty-nine thousand, two hundred".