8181961120080 has 1600 divisors, whose sum is σ = 32929252392960. Its totient is φ = 1864647475200.

The previous prime is 8181961120057. The next prime is 8181961120127. The reversal of 8181961120080 is 800211691818.

8181961120080 is a `hidden beast` number, since 8 + 1 + 8 + 1 + 9 + 611 + 20 + 0 + 8 + 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 12645998317 + ... + 12645998963.

Almost surely, 2^{8181961120080} is an apocalyptic number.

8181961120080 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 8181961120080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16464626196480).

8181961120080 is an abundant number, since it is smaller than the sum of its proper divisors (24747291272880).

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

8181961120080 is a wasteful number, since it uses less digits than its factorization.

8181961120080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 45.

The spelling of 8181961120080 in words is "eight trillion, one hundred eighty-one billion, nine hundred sixty-one million, one hundred twenty thousand, eighty".