128610504322560 has 1920 divisors, whose sum is σ = 526992770304000. Its totient is φ = 28681527361536.

The previous prime is 128610504322541. The next prime is 128610504322583. The reversal of 128610504322560 is 65223405016821.

128610504322560 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 1 + 0 + 50 + 4 + 32 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 191 ways as a sum of consecutive naturals, for example, 57441045921 + ... + 57441048159.

It is an arithmetic number, because the mean of its divisors is an integer number (274475401200).

Almost surely, 2^{128610504322560} is an apocalyptic number.

128610504322560 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 128610504322560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263496385152000).

128610504322560 is an abundant number, since it is smaller than the sum of its proper divisors (398382265981440).

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

128610504322560 is a wasteful number, since it uses less digits than its factorization.

128610504322560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2716 (or 2697 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 128610504322560 in words is "one hundred twenty-eight trillion, six hundred ten billion, five hundred four million, three hundred twenty-two thousand, five hundred sixty".