987172526736 has 480 divisors, whose sum is σ = 3186182737920. Its totient is φ = 282579840000.

The previous prime is 987172526729. The next prime is 987172526759. The reversal of 987172526736 is 637625271789.

987172526736 is a `hidden beast` number, since 9 + 8 + 7 + 1 + 72 + 526 + 7 + 36 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 416351631 + ... + 416354001.

It is an arithmetic number, because the mean of its divisors is an integer number (6637880704).

Almost surely, 2^987172526736 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 987172526736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593091368960).

987172526736 is an abundant number, since it is smaller than the sum of its proper divisors (2199010211184).

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

987172526736 is a wasteful number, since it uses less digits than its factorization.

987172526736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2627 (or 2618 counting only the distinct ones).

The product of its digits is 53343360, while the sum is 63.

The spelling of 987172526736 in words is "nine hundred eighty-seven billion, one hundred seventy-two million, five hundred twenty-six thousand, seven hundred thirty-six".