80567901120 has 448 divisors, whose sum is σ = 299659852800. Its totient is φ = 18332504064.

The previous prime is 80567901101. The next prime is 80567901121. The reversal of 80567901120 is 2110976508.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80567901121) 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, 101088562 + ... + 101089358.

It is an arithmetic number, because the mean of its divisors is an integer number (668883600).

Almost surely, 2^80567901120 is an apocalyptic number.

80567901120 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 80567901120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149829926400).

80567901120 is an abundant number, since it is smaller than the sum of its proper divisors (219091951680).

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

80567901120 is a wasteful number, since it uses less digits than its factorization.

80567901120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The spelling of 80567901120 in words is "eighty billion, five hundred sixty-seven million, nine hundred one thousand, one hundred twenty".