86464532700 has 432 divisors, whose sum is σ = 348229899360. Its totient is φ = 18242703360.

The previous prime is 86464532699. The next prime is 86464532717. The reversal of 86464532700 is 723546468.

86464532700 is a `hidden beast` number, since 8 + 6 + 46 + 4 + 532 + 70 + 0 = 666.

It is a super-2 number, since 2×86464532700² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 1694764 + ... + 1745036.

It is an arithmetic number, because the mean of its divisors is an integer number (806087730).

Almost surely, 2^86464532700 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 86464532700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174114949680).

86464532700 is an abundant number, since it is smaller than the sum of its proper divisors (261765366660).

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

86464532700 is a wasteful number, since it uses less digits than its factorization.

86464532700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50323 (or 50303 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 86464532700 in words is "eighty-six billion, four hundred sixty-four million, five hundred thirty-two thousand, seven hundred".