10677069666900 has 4032 divisors, whose sum is σ = 48963266150400. Its totient is φ = 1955476131840.

The previous prime is 10677069666787. The next prime is 10677069666937. The reversal of 10677069666900 is 966696077601.

It is a super-2 number, since 2×10677069666900² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1343 ways as a sum of consecutive naturals, for example, 84071414637 + ... + 84071414763.

It is an arithmetic number, because the mean of its divisors is an integer number (12143667200).

Almost surely, 2^{10677069666900} is an apocalyptic number.

10677069666900 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 10677069666900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24481633075200).

10677069666900 is an abundant number, since it is smaller than the sum of its proper divisors (38286196483500).

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

10677069666900 is a wasteful number, since it uses less digits than its factorization.

10677069666900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 63.

The spelling of 10677069666900 in words is "ten trillion, six hundred seventy-seven billion, sixty-nine million, six hundred sixty-six thousand, nine hundred".