987820987392 has 308 divisors, whose sum is σ = 2978164538100. Its totient is φ = 327327547392.

The previous prime is 987820987367. The next prime is 987820987457. The reversal of 987820987392 is 293789028789.

987820987392 is a `hidden beast` number, since 9 + 87 + 82 + 0 + 9 + 87 + 392 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 447207837696 + 540613149696 = 668736^2 + 735264^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 987820987392.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 129139984 + ... + 129147632.

Almost surely, 2^987820987392 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 987820987392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489082269050).

987820987392 is an abundant number, since it is smaller than the sum of its proper divisors (1990343550708).

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

987820987392 is an equidigital number, since it uses as much as digits as its factorization.

987820987392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7860 (or 7827 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 987820987392 in words is "nine hundred eighty-seven billion, eight hundred twenty million, nine hundred eighty-seven thousand, three hundred ninety-two".