86408404992 has 896 divisors, whose sum is σ = 324996779520. Its totient is φ = 22359048192.

The previous prime is 86408404987. The next prime is 86408405011. The reversal of 86408404992 is 29940480468.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×86408404992² (a number of 23 digits) contains 22 as substring.

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

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 63 ways as a sum of consecutive naturals, for example, 1630347238 + ... + 1630347290.

It is an arithmetic number, because the mean of its divisors is an integer number (362719620).

Almost surely, 2^86408404992 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 86408404992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162498389760).

86408404992 is an abundant number, since it is smaller than the sum of its proper divisors (238588374528).

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

86408404992 is an frugal number, since it uses more digits than its factorization.

86408404992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 86408404992 in words is "eighty-six billion, four hundred eight million, four hundred four thousand, nine hundred ninety-two".