10666172628300 has 288 divisors, whose sum is σ = 36232363535872. Its totient is φ = 2371458539520.

The previous prime is 10666172628271. The next prime is 10666172628341. The reversal of 10666172628300 is 382627166601.

It is a super-2 number, since 2×10666172628300² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10666172628300.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 329664924 + ... + 329697276.

Almost surely, 2^{10666172628300} is an apocalyptic number.

10666172628300 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 10666172628300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18116181767936).

10666172628300 is an abundant number, since it is smaller than the sum of its proper divisors (25566190907572).

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

10666172628300 is a wasteful number, since it uses less digits than its factorization.

10666172628300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36657 (or 36650 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 10666172628300 in words is "ten trillion, six hundred sixty-six billion, one hundred seventy-two million, six hundred twenty-eight thousand, three hundred".