81739940001792 has 384 divisors, whose sum is σ = 227344790836800. Its totient is φ = 26093030473728.

The previous prime is 81739940001791. The next prime is 81739940001833. The reversal of 81739940001792 is 29710004993718.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×81739940001792² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81739940001791) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8446821658 + ... + 8446831334.

Almost surely, 2^{81739940001792} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81739940001792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113672395418400).

81739940001792 is an abundant number, since it is smaller than the sum of its proper divisors (145604850835008).

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

81739940001792 is a wasteful number, since it uses less digits than its factorization.

81739940001792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10321 (or 10301 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 60.

The spelling of 81739940001792 in words is "eighty-one trillion, seven hundred thirty-nine billion, nine hundred forty million, one thousand, seven hundred ninety-two".