128364558400 has 315 divisors, whose sum is σ = 348755534771. Its totient is φ = 46501877760.

The previous prime is 128364558383. The next prime is 128364558431. The reversal of 128364558400 is 4855463821.

The square root of 128364558400 is 358280.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 75809912896 + 52554645504 = 275336^2 + 229248^2 .

It is a Duffinian 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 44 ways as a sum of consecutive naturals, for example, 2421972774 + ... + 2421972826.

Almost surely, 2^128364558400 is an apocalyptic number.

128364558400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

128364558400 is the 358280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128364558400

128364558400 is an abundant number, since it is smaller than the sum of its proper divisors (220390976371).

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

128364558400 is an frugal number, since it uses more digits than its factorization.

128364558400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 46.

The spelling of 128364558400 in words is "one hundred twenty-eight billion, three hundred sixty-four million, five hundred fifty-eight thousand, four hundred".