18977658060075 has 288 divisors, whose sum is σ = 39845438300160. Its totient is φ = 7875217958400.

The previous prime is 18977658060073. The next prime is 18977658060079. The reversal of 18977658060075 is 57006085677981.

It is not a de Polignac number, because 18977658060075 - 2¹ = 18977658060073 is a prime.

It is a super-2 number, since 2×18977658060075² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18977658059991 and 18977658060009.

It is not an unprimeable number, because it can be changed into a prime (18977658060073) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 124430314 + ... + 124582736.

It is an arithmetic number, because the mean of its divisors is an integer number (138352216320).

Almost surely, 2^{18977658060075} is an apocalyptic number.

18977658060075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

18977658060075 is an abundant number, since it is smaller than the sum of its proper divisors (20867780240085).

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

18977658060075 is a wasteful number, since it uses less digits than its factorization.

18977658060075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152539 (or 152521 counting only the distinct ones).

The product of its (nonzero) digits is 177811200, while the sum is 69.

The spelling of 18977658060075 in words is "eighteen trillion, nine hundred seventy-seven billion, six hundred fifty-eight million, sixty thousand, seventy-five".