81980186960 has 240 divisors, whose sum is σ = 232314416640. Its totient is φ = 26792156160.

The previous prime is 81980186947. The next prime is 81980186983. The reversal of 81980186960 is 6968108918.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 81980186896 and 81980186905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8136806 + ... + 8146874.

It is an arithmetic number, because the mean of its divisors is an integer number (967976736).

Almost surely, 2^81980186960 is an apocalyptic number.

81980186960 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 81980186960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116157208320).

81980186960 is an abundant number, since it is smaller than the sum of its proper divisors (150334229680).

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

81980186960 is a wasteful number, since it uses less digits than its factorization.

81980186960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10194 (or 10181 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 56.

The spelling of 81980186960 in words is "eighty-one billion, nine hundred eighty million, one hundred eighty-six thousand, nine hundred sixty".