10665802847700 has 1152 divisors, whose sum is σ = 46167551754240. Its totient is φ = 2040024268800.

The previous prime is 10665802847699. The next prime is 10665802847717. The reversal of 10665802847700 is 774820856601.

10665802847700 is a `hidden beast` number, since 10 + 6 + 6 + 580 + 2 + 8 + 47 + 7 + 0 + 0 = 666.

It is a super-2 number, since 2×10665802847700² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 991885524 + ... + 991896276.

Almost surely, 2^{10665802847700} is an apocalyptic number.

10665802847700 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 10665802847700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23083775877120).

10665802847700 is an abundant number, since it is smaller than the sum of its proper divisors (35501748906540).

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

10665802847700 is a wasteful number, since it uses less digits than its factorization.

10665802847700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11174 (or 11161 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 10665802847700 in words is "ten trillion, six hundred sixty-five billion, eight hundred two million, eight hundred forty-seven thousand, seven hundred".