80126956080 has 320 divisors, whose sum is σ = 284704813440. Its totient is φ = 20961607680.

The previous prime is 80126956061. The next prime is 80126956081. The reversal of 80126956080 is 8065962108.

80126956080 is a `hidden beast` number, since 8 + 0 + 1 + 2 + 6 + 9 + 560 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (80126956081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9268560 + ... + 9277200.

It is an arithmetic number, because the mean of its divisors is an integer number (889702542).

Almost surely, 2^80126956080 is an apocalyptic number.

80126956080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80126956080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142352406720).

80126956080 is an abundant number, since it is smaller than the sum of its proper divisors (204577857360).

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

80126956080 is an equidigital number, since it uses as much as digits as its factorization.

80126956080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8728 (or 8704 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 80126956080 in words is "eighty billion, one hundred twenty-six million, nine hundred fifty-six thousand, eighty".