86242523040 has 192 divisors, whose sum is σ = 317735913600. Its totient is φ = 21787564032.

The previous prime is 86242523027. The next prime is 86242523041. The reversal of 86242523040 is 4032524268.

86242523040 is a `hidden beast` number, since 8 + 624 + 2 + 5 + 23 + 0 + 4 + 0 = 666.

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 = 86242522986 and 86242523004.

It is not an unprimeable number, because it can be changed into a prime (86242523041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 443277 + ... + 607436.

It is an arithmetic number, because the mean of its divisors is an integer number (1654874550).

Almost surely, 2^86242523040 is an apocalyptic number.

86242523040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86242523040 is an abundant number, since it is smaller than the sum of its proper divisors (231493390560).

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

86242523040 is a wasteful number, since it uses less digits than its factorization.

86242523040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050756 (or 1050742 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 86242523040 in words is "eighty-six billion, two hundred forty-two million, five hundred twenty-three thousand, forty".