10677333577376 has 24 divisors (see below), whose sum is σ = 22257529921620. Its totient is φ = 5024627565568.

The previous prime is 10677333577357. The next prime is 10677333577381. The reversal of 10677333577376 is 67377533377601.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10667147923600 + 10185653776 = 3266060^2 + 100924^2 .

It is a super-2 number, since 2×10677333577376² (a number of 27 digits) contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 9813725171 + ... + 9813726258.

Almost surely, 2^{10677333577376} is an apocalyptic number.

10677333577376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10677333577376 is an abundant number, since it is smaller than the sum of its proper divisors (11580196344244).

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

10677333577376 is a wasteful number, since it uses less digits than its factorization.

10677333577376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19627451456 (or 19627451448 counting only the distinct ones).

The product of its (nonzero) digits is 245046060, while the sum is 65.

The spelling of 10677333577376 in words is "ten trillion, six hundred seventy-seven billion, three hundred thirty-three million, five hundred seventy-seven thousand, three hundred seventy-six".