987316667820 has 576 divisors, whose sum is σ = 3567012793344. Its totient is φ = 216386795520.

The previous prime is 987316667783. The next prime is 987316667861. The reversal of 987316667820 is 28766613789.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 813945534 + ... + 813946746.

It is an arithmetic number, because the mean of its divisors is an integer number (6192730544).

Almost surely, 2^987316667820 is an apocalyptic number.

987316667820 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 987316667820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783506396672).

987316667820 is an abundant number, since it is smaller than the sum of its proper divisors (2579696125524).

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

987316667820 is a wasteful number, since it uses less digits than its factorization.

987316667820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 987316667820 in words is "nine hundred eighty-seven billion, three hundred sixteen million, six hundred sixty-seven thousand, eight hundred twenty".