86052098440 has 128 divisors (see below), whose sum is σ = 241773880320. Its totient is φ = 26779104000.

The previous prime is 86052098387. The next prime is 86052098443. The reversal of 86052098440 is 4489025068.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (86052098443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1958715 + ... + 2002165.

It is an arithmetic number, because the mean of its divisors is an integer number (1888858440).

Almost surely, 2^86052098440 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 86052098440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120886940160).

86052098440 is an abundant number, since it is smaller than the sum of its proper divisors (155721781880).

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

86052098440 is a wasteful number, since it uses less digits than its factorization.

86052098440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44123 (or 44119 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 46.

The spelling of 86052098440 in words is "eighty-six billion, fifty-two million, ninety-eight thousand, four hundred forty".