86125850424 has 224 divisors, whose sum is σ = 255541651200. Its totient is φ = 27125098560.

The previous prime is 86125850423. The next prime is 86125850429. The reversal of 86125850424 is 42405852168.

86125850424 is a `hidden beast` number, since 8 + 61 + 2 + 585 + 0 + 4 + 2 + 4 = 666.

It is a super-2 number, since 2×86125850424² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 86125850424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86125850423) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 54405937 + ... + 54407519.

Almost surely, 2^86125850424 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 86125850424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127770825600).

86125850424 is an abundant number, since it is smaller than the sum of its proper divisors (169415800776).

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

86125850424 is a wasteful number, since it uses less digits than its factorization.

86125850424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2117 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 86125850424 in words is "eighty-six billion, one hundred twenty-five million, eight hundred fifty thousand, four hundred twenty-four".