80127264000 has 288 divisors, whose sum is σ = 304165645056. Its totient is φ = 18314649600.

The previous prime is 80127263933. The next prime is 80127264013. The reversal of 80127264000 is 46272108.

It is a super-2 number, since 2×80127264000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 612382 + ... + 731618.

It is an arithmetic number, because the mean of its divisors is an integer number (1056130712).

Almost surely, 2^80127264000 is an apocalyptic number.

80127264000 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 80127264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152082822528).

80127264000 is an abundant number, since it is smaller than the sum of its proper divisors (224038381056).

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

80127264000 is a wasteful number, since it uses less digits than its factorization.

80127264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119278 (or 119254 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 80127264000 in words is "eighty billion, one hundred twenty-seven million, two hundred sixty-four thousand".