86325544800 has 576 divisors, whose sum is σ = 341798123520. Its totient is φ = 20853504000.

The previous prime is 86325544759. The next prime is 86325544817. The reversal of 86325544800 is 844552368.

86325544800 is a `hidden beast` number, since 8 + 6 + 3 + 25 + 544 + 80 + 0 = 666.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 100029169 + ... + 100030031.

It is an arithmetic number, because the mean of its divisors is an integer number (593399520).

Almost surely, 2^86325544800 is an apocalyptic number.

86325544800 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 86325544800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170899061760).

86325544800 is an abundant number, since it is smaller than the sum of its proper divisors (255472578720).

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

86325544800 is a wasteful number, since it uses less digits than its factorization.

86325544800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 86325544800 in words is "eighty-six billion, three hundred twenty-five million, five hundred forty-four thousand, eight hundred".