987989011200 has 648 divisors, whose sum is σ = 3679156143936. Its totient is φ = 262310400000.

The previous prime is 987989011183. The next prime is 987989011201. The reversal of 987989011200 is 2110989789.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×987989011200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (987989011201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 390353935 + ... + 390356465.

Almost surely, 2^987989011200 is an apocalyptic number.

987989011200 is a gapful number since it is divisible by the number (90) 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 987989011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1839578071968).

987989011200 is an abundant number, since it is smaller than the sum of its proper divisors (2691167132736).

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

987989011200 is a wasteful number, since it uses less digits than its factorization.

987989011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2823 (or 2792 counting only the distinct ones).

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

The spelling of 987989011200 in words is "nine hundred eighty-seven billion, nine hundred eighty-nine million, eleven thousand, two hundred".