81695163432960 has 5760 divisors, whose sum is σ = 402781820313600. Its totient is φ = 14799014461440.

The previous prime is 81695163432959. The next prime is 81695163432989. The reversal of 81695163432960 is 6923436159618.

81695163432960 is a `hidden beast` number, since 8 + 1 + 6 + 9 + 51 + 63 + 432 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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 383 ways as a sum of consecutive naturals, for example, 917923184596 + ... + 917923184684.

It is an arithmetic number, because the mean of its divisors is an integer number (69927399360).

Almost surely, 2^{81695163432960} is an apocalyptic number.

81695163432960 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 81695163432960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201390910156800).

81695163432960 is an abundant number, since it is smaller than the sum of its proper divisors (321086656880640).

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

81695163432960 is a wasteful number, since it uses less digits than its factorization.

81695163432960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 81695163432960 in words is "eighty-one trillion, six hundred ninety-five billion, one hundred sixty-three million, four hundred thirty-two thousand, nine hundred sixty".