86482664400 has 240 divisors, whose sum is σ = 305047047168. Its totient is φ = 20769216000.

The previous prime is 86482664399. The next prime is 86482664407. The reversal of 86482664400 is 446628468.

It is a tau number, because it is divible by the number of its divisors (240).

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 86482664400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86482664407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1381785 + ... + 1443015.

Almost surely, 2^86482664400 is an apocalyptic number.

86482664400 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 86482664400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152523523584).

86482664400 is an abundant number, since it is smaller than the sum of its proper divisors (218564382768).

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

86482664400 is a wasteful number, since it uses less digits than its factorization.

86482664400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61370 (or 61359 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 48.

The spelling of 86482664400 in words is "eighty-six billion, four hundred eighty-two million, six hundred sixty-four thousand, four hundred".