81960469793280 has 960 divisors, whose sum is σ = 316477309468320. Its totient is φ = 19463838105600.

The previous prime is 81960469793231. The next prime is 81960469793333. The reversal of 81960469793280 is 8239796406918.

81960469793280 is a `hidden beast` number, since 8 + 1 + 9 + 60 + 469 + 79 + 32 + 8 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 18050805893376 + 63909663899904 = 4248624^2 + 7994352^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 81960469793199 and 81960469793208.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14080132770 + ... + 14080138590.

Almost surely, 2^{81960469793280} is an apocalyptic number.

81960469793280 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 81960469793280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158238654734160).

81960469793280 is an abundant number, since it is smaller than the sum of its proper divisors (234516839675040).

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

81960469793280 is a wasteful number, since it uses less digits than its factorization.

81960469793280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7513 (or 7494 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 81960469793280 in words is "eighty-one trillion, nine hundred sixty billion, four hundred sixty-nine million, seven hundred ninety-three thousand, two hundred eighty".