81733695120 has 720 divisors, whose sum is σ = 354629837952. Its totient is φ = 16388628480.

The previous prime is 81733695077. The next prime is 81733695209. The reversal of 81733695120 is 2159633718.

81733695120 is a `hidden beast` number, since 8 + 1 + 73 + 3 + 69 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×81733695120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 46624164 + ... + 46625916.

Almost surely, 2^81733695120 is an apocalyptic number.

81733695120 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 81733695120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177314918976).

81733695120 is an abundant number, since it is smaller than the sum of its proper divisors (272896142832).

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

81733695120 is a wasteful number, since it uses less digits than its factorization.

81733695120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 81733695120 in words is "eighty-one billion, seven hundred thirty-three million, six hundred ninety-five thousand, one hundred twenty".