80040735031296 has 480 divisors, whose sum is σ = 238253690787840. Its totient is φ = 23743563300864.

The previous prime is 80040735031289. The next prime is 80040735031321. The reversal of 80040735031296 is 69213053704008.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2012115535 + ... + 2012155313.

It is an arithmetic number, because the mean of its divisors is an integer number (496361855808).

It is a 1-persistent number, because it is pandigital, but 2⋅80040735031296 = 160081470062592 is not.

Almost surely, 2^{80040735031296} 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 80040735031296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119126845393920).

80040735031296 is an abundant number, since it is smaller than the sum of its proper divisors (158212955756544).

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

80040735031296 is a wasteful number, since it uses less digits than its factorization.

80040735031296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39937 (or 39911 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 80040735031296 in words is "eighty trillion, forty billion, seven hundred thirty-five million, thirty-one thousand, two hundred ninety-six".