128153217830400 has 1920 divisors, whose sum is σ = 570222674841600. Its totient is φ = 27537341644800.

The previous prime is 128153217830371. The next prime is 128153217830431. The reversal of 128153217830400 is 4038712351821.

128153217830400 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 532 + 1 + 78 + 3 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6021378159 + ... + 6021399441.

It is an arithmetic number, because the mean of its divisors is an integer number (296990976480).

Almost surely, 2^{128153217830400} is an apocalyptic number.

128153217830400 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 128153217830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285111337420800).

128153217830400 is an abundant number, since it is smaller than the sum of its proper divisors (442069457011200).

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

128153217830400 is a wasteful number, since it uses less digits than its factorization.

128153217830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21477 (or 21450 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 128153217830400 in words is "one hundred twenty-eight trillion, one hundred fifty-three billion, two hundred seventeen million, eight hundred thirty thousand, four hundred".