231240596801760 has 1728 divisors, whose sum is σ = 987086372912640. Its totient is φ = 48265266216960.

The previous prime is 231240596801729. The next prime is 231240596801789. The reversal of 231240596801760 is 67108695042132.

It is a happy number.

231240596801760 is a `hidden beast` number, since 2 + 3 + 1 + 2 + 40 + 596 + 8 + 0 + 1 + 7 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 231240596801697 and 231240596801706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 72694307370 + ... + 72694310550.

It is an arithmetic number, because the mean of its divisors is an integer number (571230539880).

It is a 1-persistent number, because it is pandigital, but 2⋅231240596801760 = 462481193603520 is not.

Almost surely, 2^{231240596801760} is an apocalyptic number.

231240596801760 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 231240596801760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493543186456320).

231240596801760 is an abundant number, since it is smaller than the sum of its proper divisors (755845776110880).

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

231240596801760 is a wasteful number, since it uses less digits than its factorization.

231240596801760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3681 (or 3657 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 231240596801760 in words is "two hundred thirty-one trillion, two hundred forty billion, five hundred ninety-six million, eight hundred one thousand, seven hundred sixty".