86984248500 has 576 divisors, whose sum is σ = 307255044096. Its totient is φ = 20611584000.

The previous prime is 86984248499. The next prime is 86984248529. The reversal of 86984248500 is 584248968.

86984248500 is a `hidden beast` number, since 8 + 6 + 98 + 4 + 2 + 48 + 500 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 101974074 + ... + 101974926.

It is an arithmetic number, because the mean of its divisors is an integer number (533428896).

Almost surely, 2^86984248500 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 86984248500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153627522048).

86984248500 is an abundant number, since it is smaller than the sum of its proper divisors (220270795596).

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

86984248500 is a wasteful number, since it uses less digits than its factorization.

86984248500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 86984248500 in words is "eighty-six billion, nine hundred eighty-four million, two hundred forty-eight thousand, five hundred".