987004200000 has 672 divisors, whose sum is σ = 4017578358528. Its totient is φ = 208235520000.

The previous prime is 987004199983. The next prime is 987004200019. The reversal of 987004200000 is 2400789.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54590962 + ... + 54609038.

It is an arithmetic number, because the mean of its divisors is an integer number (5978539224).

Almost surely, 2^987004200000 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 987004200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008789179264).

987004200000 is an abundant number, since it is smaller than the sum of its proper divisors (3030574158528).

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

987004200000 is a wasteful number, since it uses less digits than its factorization.

987004200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18137 (or 18107 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

Adding to 987004200000 its reverse (2400789), we get a palindrome (987006600789).

The spelling of 987004200000 in words is "nine hundred eighty-seven billion, four million, two hundred thousand".