87887843568 has 240 divisors, whose sum is σ = 291036928000. Its totient is φ = 24228149760.

The previous prime is 87887843531. The next prime is 87887843587. The reversal of 87887843568 is 86534878878.

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 = 87887843496 and 87887843505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10901523 + ... + 10909581.

Almost surely, 2^87887843568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87887843568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145518464000).

87887843568 is an abundant number, since it is smaller than the sum of its proper divisors (203149084432).

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

87887843568 is a wasteful number, since it uses less digits than its factorization.

87887843568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8460 (or 8451 counting only the distinct ones).

The product of its digits is 578027520, while the sum is 72.

The spelling of 87887843568 in words is "eighty-seven billion, eight hundred eighty-seven million, eight hundred forty-three thousand, five hundred sixty-eight".