87985820984040 has 256 divisors, whose sum is σ = 335195199475200. Its totient is φ = 20110377627648.

The previous prime is 87985820984023. The next prime is 87985820984059. The reversal of 87985820984040 is 4048902858978.

87985820984040 is a `hidden beast` number, since 8 + 7 + 9 + 8 + 5 + 8 + 209 + 8 + 404 + 0 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 87985820984040.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 248978352 + ... + 249331488.

It is an arithmetic number, because the mean of its divisors is an integer number (1309356247950).

Almost surely, 2^{87985820984040} is an apocalyptic number.

It is an amenable number.

87985820984040 is an abundant number, since it is smaller than the sum of its proper divisors (247209378491160).

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

87985820984040 is a wasteful number, since it uses less digits than its factorization.

87985820984040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386121 (or 386111 counting only the distinct ones).

The product of its (nonzero) digits is 371589120, while the sum is 72.

The spelling of 87985820984040 in words is "eighty-seven trillion, nine hundred eighty-five billion, eight hundred twenty million, nine hundred eighty-four thousand, forty".