86090472000 has 1792 divisors, whose sum is σ = 374912778240. Its totient is φ = 19160064000.

The previous prime is 86090471947. The next prime is 86090472001. The reversal of 86090472000 is 27409068.

86090472000 is a `hidden beast` number, since 8 + 609 + 0 + 47 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86090472001) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 2002103979 + ... + 2002104021.

It is an arithmetic number, because the mean of its divisors is an integer number (209214720).

Almost surely, 2^86090472000 is an apocalyptic number.

86090472000 is a gapful number since it is divisible by the number (80) 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 86090472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187456389120).

86090472000 is an abundant number, since it is smaller than the sum of its proper divisors (288822306240).

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

86090472000 is a wasteful number, since it uses less digits than its factorization.

86090472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 86090472000 in words is "eighty-six billion, ninety million, four hundred seventy-two thousand".