231166260000 has 720 divisors, whose sum is σ = 890623109376. Its totient is φ = 56519424000.

The previous prime is 231166259957. The next prime is 231166260001. The reversal of 231166260000 is 62661132.

231166260000 is a `hidden beast` number, since 2 + 31 + 1 + 6 + 626 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is not an unprimeable number, because it can be changed into a prime (231166260001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 521819779 + ... + 521820221.

Almost surely, 2^231166260000 is an apocalyptic number.

231166260000 is a gapful number since it is divisible by the number (20) 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 231166260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445311554688).

231166260000 is an abundant number, since it is smaller than the sum of its proper divisors (659456849376).

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

231166260000 is a wasteful number, since it uses less digits than its factorization.

231166260000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 231166260000 in words is "two hundred thirty-one billion, one hundred sixty-six million, two hundred sixty thousand".