988030303303680 has 2304 divisors, whose sum is σ = 4442788882022400. Its totient is φ = 197206805053440.

The previous prime is 988030303303669. The next prime is 988030303303697. The reversal of 988030303303680 is 86303303030889.

It is a tau number, because it is divible by the number of its divisors (2304).

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, 120623888385 + ... + 120623896575.

It is an arithmetic number, because the mean of its divisors is an integer number (1928293785600).

Almost surely, 2^{988030303303680} is an apocalyptic number.

988030303303680 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 988030303303680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2221394441011200).

988030303303680 is an abundant number, since it is smaller than the sum of its proper divisors (3454758578718720).

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

988030303303680 is a wasteful number, since it uses less digits than its factorization.

988030303303680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9020 (or 8997 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 988030303303680 in words is "nine hundred eighty-eight trillion, thirty billion, three hundred three million, three hundred three thousand, six hundred eighty".