166711828774400 has 2880 divisors, whose sum is σ = 581937223633920. Its totient is φ = 45794643148800.

The previous prime is 166711828774397. The next prime is 166711828774409. The reversal of 166711828774400 is 4477828117661.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166711828774409) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2110276313561 + ... + 2110276313639.

It is an arithmetic number, because the mean of its divisors is an integer number (202061535984).

Almost surely, 2^{166711828774400} is an apocalyptic number.

166711828774400 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 166711828774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290968611816960).

166711828774400 is an abundant number, since it is smaller than the sum of its proper divisors (415225394859520).

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

166711828774400 is a wasteful number, since it uses less digits than its factorization.

166711828774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 25288704, while the sum is 62.

The spelling of 166711828774400 in words is "one hundred sixty-six trillion, seven hundred eleven billion, eight hundred twenty-eight million, seven hundred seventy-four thousand, four hundred".