8481687552000 has 3360 divisors, whose sum is σ = 37544879473920. Its totient is φ = 1891919462400.

The previous prime is 8481687551993. The next prime is 8481687552017. The reversal of 8481687552000 is 2557861848.

8481687552000 is a `hidden beast` number, since 8 + 4 + 8 + 1 + 6 + 87 + 552 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 368769023989 + ... + 368769024011.

It is an arithmetic number, because the mean of its divisors is an integer number (11174071272).

Almost surely, 2^{8481687552000} is an apocalyptic number.

8481687552000 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 8481687552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18772439736960).

8481687552000 is an abundant number, since it is smaller than the sum of its proper divisors (29063191921920).

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

8481687552000 is an equidigital number, since it uses as much as digits as its factorization.

8481687552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 8481687552000 in words is "eight trillion, four hundred eighty-one billion, six hundred eighty-seven million, five hundred fifty-two thousand".