8787514215040 has 384 divisors, whose sum is σ = 24228324253440. Its totient is φ = 3022119936000.

The previous prime is 8787514215031. The next prime is 8787514215083. The reversal of 8787514215040 is 405124157878.

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 47 ways as a sum of consecutive naturals, for example, 1679889225 + ... + 1679894455.

It is an arithmetic number, because the mean of its divisors is an integer number (63094594410).

Almost surely, 2^{8787514215040} is an apocalyptic number.

8787514215040 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 8787514215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12114162126720).

8787514215040 is an abundant number, since it is smaller than the sum of its proper divisors (15440810038400).

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

8787514215040 is a wasteful number, since it uses less digits than its factorization.

8787514215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5960 (or 5929 counting only the distinct ones).

The product of its (nonzero) digits is 2508800, while the sum is 52.

The spelling of 8787514215040 in words is "eight trillion, seven hundred eighty-seven billion, five hundred fourteen million, two hundred fifteen thousand, forty".