987381938880 has 336 divisors, whose sum is σ = 3524822499744. Its totient is φ = 263088414720.

The previous prime is 987381938863. The next prime is 987381938899. The reversal of 987381938880 is 88839183789.

987381938880 is a `hidden beast` number, since 9 + 8 + 7 + 381 + 93 + 88 + 80 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 987381938799 and 987381938808.

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 47 ways as a sum of consecutive naturals, for example, 111425650 + ... + 111434510.

It is an arithmetic number, because the mean of its divisors is an integer number (10490543154).

Almost surely, 2^987381938880 is an apocalyptic number.

987381938880 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 987381938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762411249872).

987381938880 is an abundant number, since it is smaller than the sum of its proper divisors (2537440560864).

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

987381938880 is a wasteful number, since it uses less digits than its factorization.

987381938880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10326 (or 10304 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 72.

The spelling of 987381938880 in words is "nine hundred eighty-seven billion, three hundred eighty-one million, nine hundred thirty-eight thousand, eight hundred eighty".