988086570768 has 240 divisors, whose sum is σ = 3034218904704. Its totient is φ = 297681315840.

The previous prime is 988086570763. The next prime is 988086570781. The reversal of 988086570768 is 867075680889.

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 = 988086570696 and 988086570705.

It is not an unprimeable number, because it can be changed into a prime (988086570763) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 303744630 + ... + 303747882.

Almost surely, 2^988086570768 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 988086570768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517109452352).

988086570768 is an abundant number, since it is smaller than the sum of its proper divisors (2046132333936).

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

988086570768 is a wasteful number, since it uses less digits than its factorization.

988086570768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4334 (or 4325 counting only the distinct ones).

The product of its (nonzero) digits is 325140480, while the sum is 72.

The spelling of 988086570768 in words is "nine hundred eighty-eight billion, eighty-six million, five hundred seventy thousand, seven hundred sixty-eight".