66577354859088 has 80 divisors (see below), whose sum is σ = 191200634251200. Its totient is φ = 22180958616960.

The previous prime is 66577354859083. The next prime is 66577354859111. The reversal of 66577354859088 is 88095845377566.

66577354859088 is a `hidden beast` number, since 6 + 6 + 57 + 7 + 3 + 5 + 485 + 9 + 0 + 88 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 66577354858998 and 66577354859016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66577354859083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39071103 + ... + 40739486.

It is an arithmetic number, because the mean of its divisors is an integer number (2390007928140).

Almost surely, 2^{66577354859088} is an apocalyptic number.

It is an amenable number.

66577354859088 is an abundant number, since it is smaller than the sum of its proper divisors (124623279392112).

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

66577354859088 is a wasteful number, since it uses less digits than its factorization.

66577354859088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79812537 (or 79812525 counting only the distinct ones).

The product of its (nonzero) digits is 12192768000, while the sum is 81.

The spelling of 66577354859088 in words is "sixty-six trillion, five hundred seventy-seven billion, three hundred fifty-four million, eight hundred fifty-nine thousand, eighty-eight".