80436158796972 has 192 divisors, whose sum is σ = 210640747000320. Its totient is φ = 23675195289600.

The previous prime is 80436158796949. The next prime is 80436158797003. The reversal of 80436158796972 is 27969785163408.

It is a junction number, because it is equal to n+sod(n) for n = 80436158796894 and 80436158796903.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14948177722 + ... + 14948183102.

It is an arithmetic number, because the mean of its divisors is an integer number (1097087223960).

It is a 2-persistent number, because it is pandigital, and so is 2⋅80436158796972 = 160872317593944, but 3⋅80436158796972 = 241308476390916 is not.

Almost surely, 2^{80436158796972} 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 80436158796972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105320373500160).

80436158796972 is an abundant number, since it is smaller than the sum of its proper divisors (130204588203348).

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

80436158796972 is a wasteful number, since it uses less digits than its factorization.

80436158796972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10112 (or 10110 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 75.

The spelling of 80436158796972 in words is "eighty trillion, four hundred thirty-six billion, one hundred fifty-eight million, seven hundred ninety-six thousand, nine hundred seventy-two".