86114007252 has 240 divisors, whose sum is σ = 279105066240. Its totient is φ = 22544552448.

The previous prime is 86114007251. The next prime is 86114007271. The reversal of 86114007252 is 25270041168.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86114007251) 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 79 ways as a sum of consecutive naturals, for example, 4028649 + ... + 4049967.

It is an arithmetic number, because the mean of its divisors is an integer number (1162937776).

Almost surely, 2^86114007252 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 86114007252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139552533120).

86114007252 is an abundant number, since it is smaller than the sum of its proper divisors (192991058988).

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

86114007252 is a wasteful number, since it uses less digits than its factorization.

86114007252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21492 (or 21481 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 86114007252 in words is "eighty-six billion, one hundred fourteen million, seven thousand, two hundred fifty-two".