987836014080 has 640 divisors, whose sum is σ = 3658805821440. Its totient is φ = 252401909760.

The previous prime is 987836014057. The next prime is 987836014103. The reversal of 987836014080 is 80410638789.

It is an interprime number because it is at equal distance from previous prime (987836014057) and next prime (987836014103).

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 157521345 + ... + 157527615.

It is an arithmetic number, because the mean of its divisors is an integer number (5716884096).

Almost surely, 2^987836014080 is an apocalyptic number.

987836014080 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 987836014080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829402910720).

987836014080 is an abundant number, since it is smaller than the sum of its proper divisors (2670969807360).

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

987836014080 is a wasteful number, since it uses less digits than its factorization.

987836014080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6399 (or 6377 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 987836014080 in words is "nine hundred eighty-seven billion, eight hundred thirty-six million, fourteen thousand, eighty".