10677700839936 has 320 divisors, whose sum is σ = 32469987787776. Its totient is φ = 3088967270400.

The previous prime is 10677700839877. The next prime is 10677700840013. The reversal of 10677700839936 is 63993800777601.

It is a happy number.

It is a super-2 number, since 2×10677700839936² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 336385026 + ... + 336416766.

Almost surely, 2^{10677700839936} is an apocalyptic number.

10677700839936 is a gapful number since it is divisible by the number (16) 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 10677700839936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16234993893888).

10677700839936 is an abundant number, since it is smaller than the sum of its proper divisors (21792286947840).

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

10677700839936 is a wasteful number, since it uses less digits than its factorization.

10677700839936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32783 (or 32767 counting only the distinct ones).

The product of its (nonzero) digits is 72013536, while the sum is 66.

The spelling of 10677700839936 in words is "ten trillion, six hundred seventy-seven billion, seven hundred million, eight hundred thirty-nine thousand, nine hundred thirty-six".