10987002000 has 960 divisors, whose sum is σ = 44951122944. Its totient is φ = 2575411200.

The previous prime is 10987001957. The next prime is 10987002001. The reversal of 10987002000 is 20078901.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10987002001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 233765977 + ... + 233766023.

Almost surely, 2^10987002000 is an apocalyptic number.

10987002000 is a gapful number since it is divisible by the number (10) 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 10987002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22475561472).

10987002000 is an abundant number, since it is smaller than the sum of its proper divisors (33964120944).

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

10987002000 is a wasteful number, since it uses less digits than its factorization.

10987002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 10987002000 in words is "ten billion, nine hundred eighty-seven million, two thousand".