128550931600 has 405 divisors, whose sum is σ = 391013618337. Its totient is φ = 40477731840.

The previous prime is 128550931589. The next prime is 128550931669. The reversal of 128550931600 is 6139055821.

The square root of 128550931600 is 358540.

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

It can be written as a sum of positive squares in 13 ways, for example, as 50213639056 + 78337292544 = 224084^2 + 279888^2 .

It is a super-3 number, since 3×128550931600³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 652542702 + ... + 652542898.

Almost surely, 2^128550931600 is an apocalyptic number.

128550931600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

128550931600 is the 358540-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128550931600

128550931600 is an abundant number, since it is smaller than the sum of its proper divisors (262462686737).

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

128550931600 is a wasteful number, since it uses less digits than its factorization.

128550931600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 40.

The spelling of 128550931600 in words is "one hundred twenty-eight billion, five hundred fifty million, nine hundred thirty-one thousand, six hundred".