128579616400 has 45 divisors (see below), whose sum is σ = 308929759131. Its totient is φ = 51428977920.

The previous prime is 128579616383. The next prime is 128579616437. The reversal of 128579616400 is 4616975821.

It is a happy number.

The square root of 128579616400 is 358580.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1033493904 + 127546122496 = 32148^2 + 357136^2 .

It is a super-2 number, since 2×128579616400² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7162636 + ... + 7180564.

Almost surely, 2^128579616400 is an apocalyptic number.

128579616400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

128579616400 is the 358580-th square number.

It is an amenable number.

128579616400 is an abundant number, since it is smaller than the sum of its proper divisors (180350142731).

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

128579616400 is an frugal number, since it uses more digits than its factorization.

128579616400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35876 (or 17936 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

Multiplying 128579616400 by its sum of digits (49), we get a square (6300401203600 = 2510060²).

The spelling of 128579616400 in words is "one hundred twenty-eight billion, five hundred seventy-nine million, six hundred sixteen thousand, four hundred".