987129000936 has 512 divisors, whose sum is σ = 3193743168000. Its totient is φ = 279886233600.

The previous prime is 987129000859. The next prime is 987129001007. The reversal of 987129000936 is 639000921789.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1297146796 + ... + 1297147556.

It is an arithmetic number, because the mean of its divisors is an integer number (6237779625).

Almost surely, 2^987129000936 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 987129000936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596871584000).

987129000936 is an abundant number, since it is smaller than the sum of its proper divisors (2206614167064).

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

987129000936 is a wasteful number, since it uses less digits than its factorization.

987129000936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 987129000936 in words is "nine hundred eighty-seven billion, one hundred twenty-nine million, nine hundred thirty-six", and thus it is an aban number.