86448624840 has 256 divisors, whose sum is σ = 296374464000. Its totient is φ = 22397783040.

The previous prime is 86448624839. The next prime is 86448624907. The reversal of 86448624840 is 4842684468.

86448624840 is a `hidden beast` number, since 8 + 6 + 4 + 4 + 8 + 624 + 8 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42396541 + ... + 42398579.

It is an arithmetic number, because the mean of its divisors is an integer number (1157712750).

Almost surely, 2^86448624840 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 86448624840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148187232000).

86448624840 is an abundant number, since it is smaller than the sum of its proper divisors (209925839160).

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

86448624840 is a wasteful number, since it uses less digits than its factorization.

86448624840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3157 (or 3147 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 54.

The spelling of 86448624840 in words is "eighty-six billion, four hundred forty-eight million, six hundred twenty-four thousand, eight hundred forty".