80269056000 has 1440 divisors, whose sum is σ = 352475323200. Its totient is φ = 18114969600.

The previous prime is 80269055953. The next prime is 80269056001. The reversal of 80269056000 is 65096208.

80269056000 is a `hidden beast` number, since 8 + 0 + 2 + 6 + 90 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×80269056000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80269056001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1016063961 + ... + 1016064039.

It is an arithmetic number, because the mean of its divisors is an integer number (244774530).

Almost surely, 2^80269056000 is an apocalyptic number.

80269056000 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 80269056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176237661600).

80269056000 is an abundant number, since it is smaller than the sum of its proper divisors (272206267200).

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

80269056000 is an equidigital number, since it uses as much as digits as its factorization.

80269056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 80269056000 in words is "eighty billion, two hundred sixty-nine million, fifty-six thousand".