86755233240 has 192 divisors, whose sum is σ = 303836551200. Its totient is φ = 21341546496.

The previous prime is 86755233217. The next prime is 86755233247. The reversal of 86755233240 is 4233255768.

86755233240 is a `hidden beast` number, since 8 + 67 + 552 + 3 + 32 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86755233247) 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 47 ways as a sum of consecutive naturals, for example, 8732596 + ... + 8742524.

Almost surely, 2^86755233240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86755233240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151918275600).

86755233240 is an abundant number, since it is smaller than the sum of its proper divisors (217081317960).

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

86755233240 is a wasteful number, since it uses less digits than its factorization.

86755233240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11826 (or 11819 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 86755233240 in words is "eighty-six billion, seven hundred fifty-five million, two hundred thirty-three thousand, two hundred forty".