80057252689920 has 1440 divisors, whose sum is σ = 323947416592800. Its totient is φ = 18882407301120.

The previous prime is 80057252689913. The next prime is 80057252689933. The reversal of 80057252689920 is 2998625275008.

80057252689920 is a `hidden beast` number, since 8 + 0 + 0 + 5 + 7 + 2 + 526 + 89 + 9 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3713392101 + ... + 3713413659.

It is an arithmetic number, because the mean of its divisors is an integer number (224963483745).

Almost surely, 2^{80057252689920} is an apocalyptic number.

80057252689920 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 80057252689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161973708296400).

80057252689920 is an abundant number, since it is smaller than the sum of its proper divisors (243890163902880).

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

80057252689920 is a wasteful number, since it uses less digits than its factorization.

80057252689920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21657 (or 21617 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 80057252689920 in words is "eighty trillion, fifty-seven billion, two hundred fifty-two million, six hundred eighty-nine thousand, nine hundred twenty".