80961329740032 has 864 divisors, whose sum is σ = 280294465651200. Its totient is φ = 21974294200320.

The previous prime is 80961329740001. The next prime is 80961329740061. The reversal of 80961329740032 is 23004792316908.

80961329740032 is a `hidden beast` number, since 8 + 0 + 96 + 1 + 32 + 97 + 400 + 32 = 666.

It is a super-2 number, since 2×80961329740032² (a number of 29 digits) contains 22 as substring.

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, 40139478288 + ... + 40139480304.

It is an arithmetic number, because the mean of its divisors is an integer number (324414890800).

Almost surely, 2^{80961329740032} 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 80961329740032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140147232825600).

80961329740032 is an abundant number, since it is smaller than the sum of its proper divisors (199333135911168).

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

80961329740032 is a wasteful number, since it uses less digits than its factorization.

80961329740032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 80961329740032 in words is "eighty trillion, nine hundred sixty-one billion, three hundred twenty-nine million, seven hundred forty thousand, thirty-two".