80973200431104 has 576 divisors, whose sum is σ = 227700186255360. Its totient is φ = 25581448396800.

The previous prime is 80973200431087. The next prime is 80973200431229. The reversal of 80973200431104 is 40113400237908.

It is a super-2 number, since 2×80973200431104² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137944123099 + ... + 137944123685.

It is an arithmetic number, because the mean of its divisors is an integer number (395312823360).

Almost surely, 2^{80973200431104} 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 80973200431104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113850093127680).

80973200431104 is an abundant number, since it is smaller than the sum of its proper divisors (146726985824256).

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

80973200431104 is a wasteful number, since it uses less digits than its factorization.

80973200431104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 80973200431104 in words is "eighty trillion, nine hundred seventy-three billion, two hundred million, four hundred thirty-one thousand, one hundred four".