987011193168 has 960 divisors, whose sum is σ = 3771942580224. Its totient is φ = 232657920000.

The previous prime is 987011193163. The next prime is 987011193173. The reversal of 987011193168 is 861391110789.

It is an interprime number because it is at equal distance from previous prime (987011193163) and next prime (987011193173).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (987011193163) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2981906763 + ... + 2981907093.

Almost surely, 2^987011193168 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 987011193168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885971290112).

987011193168 is an abundant number, since it is smaller than the sum of its proper divisors (2784931387056).

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

987011193168 is a wasteful number, since it uses less digits than its factorization.

987011193168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 54.

The spelling of 987011193168 in words is "nine hundred eighty-seven billion, eleven million, one hundred ninety-three thousand, one hundred sixty-eight".