232251027840 has 640 divisors, whose sum is σ = 922107352320. Its totient is φ = 55320330240.

The previous prime is 232251027823. The next prime is 232251027863. The reversal of 232251027840 is 48720152232.

232251027840 is a `hidden beast` number, since 2 + 32 + 2 + 510 + 2 + 78 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 232251027795 and 232251027804.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 20885962 + ... + 20897078.

It is an arithmetic number, because the mean of its divisors is an integer number (1440792738).

Almost surely, 2^232251027840 is an apocalyptic number.

232251027840 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 232251027840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461053676160).

232251027840 is an abundant number, since it is smaller than the sum of its proper divisors (689856324480).

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

232251027840 is a wasteful number, since it uses less digits than its factorization.

232251027840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11192 (or 11171 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 232251027840 in words is "two hundred thirty-two billion, two hundred fifty-one million, twenty-seven thousand, eight hundred forty".