8180256000 has 864 divisors, whose sum is σ = 33151652352. Its totient is φ = 1780531200.

The previous prime is 8180255987. The next prime is 8180256043. The reversal of 8180256000 is 6520818.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 174047977 + ... + 174048023.

It is an arithmetic number, because the mean of its divisors is an integer number (38369968).

Almost surely, 2^8180256000 is an apocalyptic number.

8180256000 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 8180256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16575826176).

8180256000 is an abundant number, since it is smaller than the sum of its proper divisors (24971396352).

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

8180256000 is a wasteful number, since it uses less digits than its factorization.

8180256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 8180256000 is about 90444.7676761901. The cubic root of 8180256000 is about 2014.9099044948.

Adding to 8180256000 its reverse (6520818), we get a palindrome (8186776818).

The spelling of 8180256000 in words is "eight billion, one hundred eighty million, two hundred fifty-six thousand".