988657318654720 has 576 divisors, whose sum is σ = 2858185504540800. Its totient is φ = 322834386124800.

The previous prime is 988657318654669. The next prime is 988657318654723. The reversal of 988657318654720 is 27456813756889.

It is not an unprimeable number, because it can be changed into a prime (988657318654723) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2618930622 + ... + 2619308098.

It is an arithmetic number, because the mean of its divisors is an integer number (4962127612050).

It is a 1-persistent number, because it is pandigital, but 2⋅988657318654720 = 1977314637309440 is not.

Almost surely, 2^{988657318654720} 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 988657318654720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429092752270400).

988657318654720 is an abundant number, since it is smaller than the sum of its proper divisors (1869528185886080).

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

988657318654720 is a wasteful number, since it uses less digits than its factorization.

988657318654720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377912 (or 377898 counting only the distinct ones).

The product of its (nonzero) digits is 4877107200, while the sum is 79.

The spelling of 988657318654720 in words is "nine hundred eighty-eight trillion, six hundred fifty-seven billion, three hundred eighteen million, six hundred fifty-four thousand, seven hundred twenty".