8545728980880 has 1920 divisors, whose sum is σ = 37938851758080. Its totient is φ = 1673703751680.

The previous prime is 8545728980821. The next prime is 8545728980891. The reversal of 8545728980880 is 880898275458.

8545728980880 is a `hidden beast` number, since 8 + 5 + 457 + 2 + 8 + 98 + 0 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 8545728980799 and 8545728980808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 24627460867 + ... + 24627461213.

It is an arithmetic number, because the mean of its divisors is an integer number (19759818624).

Almost surely, 2^{8545728980880} is an apocalyptic number.

8545728980880 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 8545728980880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18969425879040).

8545728980880 is an abundant number, since it is smaller than the sum of its proper divisors (29393122777200).

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

8545728980880 is a wasteful number, since it uses less digits than its factorization.

8545728980880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 412876800, while the sum is 72.

The spelling of 8545728980880 in words is "eight trillion, five hundred forty-five billion, seven hundred twenty-eight million, nine hundred eighty thousand, eight hundred eighty".