8181597916800 has 1152 divisors, whose sum is σ = 36517597009920. Its totient is φ = 1694462976000.

The previous prime is 8181597916799. The next prime is 8181597916819. The reversal of 8181597916800 is 86197951818.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 689667669 + ... + 689679531.

It is an arithmetic number, because the mean of its divisors is an integer number (31699302960).

Almost surely, 2^{8181597916800} is an apocalyptic number.

8181597916800 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 8181597916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18258798504960).

8181597916800 is an abundant number, since it is smaller than the sum of its proper divisors (28335999093120).

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

8181597916800 is a wasteful number, since it uses less digits than its factorization.

8181597916800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12222 (or 12202 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 63.

The spelling of 8181597916800 in words is "eight trillion, one hundred eighty-one billion, five hundred ninety-seven million, nine hundred sixteen thousand, eight hundred".