86464257600 has 1344 divisors, whose sum is σ = 374444605440. Its totient is φ = 16986931200.

The previous prime is 86464257587. The next prime is 86464257601. The reversal of 86464257600 is 675246468.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 86464257600.

It is not an unprimeable number, because it can be changed into a prime (86464257601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 336436672 + ... + 336436928.

Almost surely, 2^86464257600 is an apocalyptic number.

86464257600 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 86464257600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187222302720).

86464257600 is an abundant number, since it is smaller than the sum of its proper divisors (287980347840).

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

86464257600 is a wasteful number, since it uses less digits than its factorization.

86464257600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 86464257600 in words is "eighty-six billion, four hundred sixty-four million, two hundred fifty-seven thousand, six hundred".