86029899984 has 640 divisors, whose sum is σ = 317008281600. Its totient is φ = 21767823360.

The previous prime is 86029899979. The next prime is 86029900003. The reversal of 86029899984 is 48999892068.

86029899984 is a `hidden beast` number, since 8 + 602 + 9 + 8 + 9 + 9 + 9 + 8 + 4 = 666.

It is a super-2 number, since 2×86029899984² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58964247 + ... + 58965705.

It is an arithmetic number, because the mean of its divisors is an integer number (495325440).

Almost surely, 2^86029899984 is an apocalyptic number.

86029899984 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 86029899984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158504140800).

86029899984 is an abundant number, since it is smaller than the sum of its proper divisors (230978381616).

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

86029899984 is a wasteful number, since it uses less digits than its factorization.

86029899984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 161243136, while the sum is 72.

The spelling of 86029899984 in words is "eighty-six billion, twenty-nine million, eight hundred ninety-nine thousand, nine hundred eighty-four".