8507809789440 has 1920 divisors, whose sum is σ = 32268840912000. Its totient is φ = 1906499911680.

The previous prime is 8507809789397. The next prime is 8507809789487. The reversal of 8507809789440 is 449879087058.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 57099394486 + ... + 57099394634.

It is an arithmetic number, because the mean of its divisors is an integer number (16806687975).

Almost surely, 2^{8507809789440} is an apocalyptic number.

8507809789440 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 8507809789440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16134420456000).

8507809789440 is an abundant number, since it is smaller than the sum of its proper divisors (23761031122560).

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

8507809789440 is a wasteful number, since it uses less digits than its factorization.

8507809789440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 69.

The spelling of 8507809789440 in words is "eight trillion, five hundred seven billion, eight hundred nine million, seven hundred eighty-nine thousand, four hundred forty".