128301658560 has 224 divisors, whose sum is σ = 456187576320. Its totient is φ = 33944085504.

The previous prime is 128301658559. The next prime is 128301658577. The reversal of 128301658560 is 65856103821.

128301658560 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 0 + 1 + 6 + 585 + 60 = 666.

It is a super-2 number, since 2×128301658560² (a number of 23 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1038817 + ... + 1155743.

It is an arithmetic number, because the mean of its divisors is an integer number (2036551680).

Almost surely, 2^128301658560 is an apocalyptic number.

128301658560 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 128301658560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228093788160).

128301658560 is an abundant number, since it is smaller than the sum of its proper divisors (327885917760).

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

128301658560 is a wasteful number, since it uses less digits than its factorization.

128301658560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117080 (or 117064 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 128301658560 in words is "one hundred twenty-eight billion, three hundred one million, six hundred fifty-eight thousand, five hundred sixty".