86424552000 has 168 divisors, whose sum is σ = 309155284152. Its totient is φ = 23046528000.

The previous prime is 86424551999. The next prime is 86424552001. The reversal of 86424552000 is 25542468.

It is a happy number.

86424552000 is a `hidden beast` number, since 8 + 642 + 4 + 5 + 5 + 2 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (86424551999) and next prime (86424552001).

It can be written as a sum of positive squares in 4 ways, for example, as 2663424 + 86421888576 = 1632^2 + 293976^2 .

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

It is not an unprimeable number, because it can be changed into a prime (86424552001) 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 23 ways as a sum of consecutive naturals, for example, 528171 + ... + 672170.

Almost surely, 2^86424552000 is an apocalyptic number.

86424552000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86424552000 is an abundant number, since it is smaller than the sum of its proper divisors (222730732152).

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

86424552000 is a wasteful number, since it uses less digits than its factorization.

86424552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200374 (or 1200351 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 86424552000 in words is "eighty-six billion, four hundred twenty-four million, five hundred fifty-two thousand".