8181672014880 has 1152 divisors, whose sum is σ = 35727248793600. Its totient is φ = 1721810939904.

The previous prime is 8181672014863. The next prime is 8181672014903. The reversal of 8181672014880 is 884102761818.

8181672014880 is a `hidden beast` number, since 8 + 1 + 81 + 67 + 20 + 1 + 488 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1482452761 + ... + 1482458279.

It is an arithmetic number, because the mean of its divisors is an integer number (31013236800).

Almost surely, 2^{8181672014880} is an apocalyptic number.

8181672014880 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 8181672014880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17863624396800).

8181672014880 is an abundant number, since it is smaller than the sum of its proper divisors (27545576778720).

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

8181672014880 is a wasteful number, since it uses less digits than its factorization.

8181672014880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5988 (or 5968 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 54.

The spelling of 8181672014880 in words is "eight trillion, one hundred eighty-one billion, six hundred seventy-two million, fourteen thousand, eight hundred eighty".