988315447680 has 576 divisors, whose sum is σ = 3866206902480. Its totient is φ = 239580426240.

The previous prime is 988315447657. The next prime is 988315447741. The reversal of 988315447680 is 86744513889.

988315447680 is a `hidden beast` number, since 9 + 8 + 8 + 3 + 1 + 544 + 7 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46178742 + ... + 46200138.

Almost surely, 2^988315447680 is an apocalyptic number.

988315447680 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 988315447680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933103451240).

988315447680 is an abundant number, since it is smaller than the sum of its proper divisors (2877891454800).

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

988315447680 is an equidigital number, since it uses as much as digits as its factorization.

988315447680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21451 (or 21418 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 988315447680 in words is "nine hundred eighty-eight billion, three hundred fifteen million, four hundred forty-seven thousand, six hundred eighty".