121589455680 has 1344 divisors, whose sum is σ = 548309938176. Its totient is φ = 23998464000.

The previous prime is 121589455649. The next prime is 121589455693. The reversal of 121589455680 is 86554985121.

121589455680 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 8 + 9 + 4 + 556 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 390962725 + ... + 390963035.

It is an arithmetic number, because the mean of its divisors is an integer number (407968704).

Almost surely, 2^121589455680 is an apocalyptic number.

121589455680 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 121589455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274154969088).

121589455680 is an abundant number, since it is smaller than the sum of its proper divisors (426720482496).

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

121589455680 is a wasteful number, since it uses less digits than its factorization.

121589455680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 54.

The spelling of 121589455680 in words is "one hundred twenty-one billion, five hundred eighty-nine million, four hundred fifty-five thousand, six hundred eighty".