86039924544 has 448 divisors, whose sum is σ = 307484190720. Its totient is φ = 23030784000.

The previous prime is 86039924497. The next prime is 86039924549. The reversal of 86039924544 is 44542993068.

86039924544 is a `hidden beast` number, since 8 + 6 + 0 + 3 + 9 + 92 + 4 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86039924549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51612799 + ... + 51614465.

It is an arithmetic number, because the mean of its divisors is an integer number (686348640).

Almost surely, 2^86039924544 is an apocalyptic number.

86039924544 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86039924544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153742095360).

86039924544 is an abundant number, since it is smaller than the sum of its proper divisors (221444266176).

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

86039924544 is a wasteful number, since it uses less digits than its factorization.

86039924544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963 (or 1947 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 86039924544 in words is "eighty-six billion, thirty-nine million, nine hundred twenty-four thousand, five hundred forty-four".