988826398560 has 1152 divisors, whose sum is σ = 4676983234560. Its totient is φ = 183538483200.

The previous prime is 988826398543. The next prime is 988826398579. The reversal of 988826398560 is 65893628889.

988826398560 is a `hidden beast` number, since 9 + 8 + 8 + 8 + 26 + 39 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 44673576 + ... + 44695704.

It is an arithmetic number, because the mean of its divisors is an integer number (4059881280).

Almost surely, 2^988826398560 is an apocalyptic number.

988826398560 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 988826398560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2338491617280).

988826398560 is an abundant number, since it is smaller than the sum of its proper divisors (3688156836000).

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

988826398560 is a wasteful number, since it uses less digits than its factorization.

988826398560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22212 (or 22201 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 988826398560 in words is "nine hundred eighty-eight billion, eight hundred twenty-six million, three hundred ninety-eight thousand, five hundred sixty".