128099735280 has 320 divisors, whose sum is σ = 482119856640. Its totient is φ = 31004467200.

The previous prime is 128099735237. The next prime is 128099735293. The reversal of 128099735280 is 82537990821.

128099735280 is a `hidden beast` number, since 1 + 28 + 0 + 9 + 97 + 3 + 528 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15986475 + ... + 15994485.

It is an arithmetic number, because the mean of its divisors is an integer number (1506624552).

Almost surely, 2^128099735280 is an apocalyptic number.

128099735280 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 128099735280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241059928320).

128099735280 is an abundant number, since it is smaller than the sum of its proper divisors (354020121360).

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

128099735280 is a wasteful number, since it uses less digits than its factorization.

128099735280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8717 (or 8705 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 128099735280 in words is "one hundred twenty-eight billion, ninety-nine million, seven hundred thirty-five thousand, two hundred eighty".