988710117120 has 864 divisors, whose sum is σ = 3791502134784. Its totient is φ = 235892736000.

The previous prime is 988710117107. The next prime is 988710117133. The reversal of 988710117120 is 21711017889.

988710117120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (988710117107) and next prime (988710117133).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3118959202 + ... + 3118959518.

It is an arithmetic number, because the mean of its divisors is an integer number (4388312656).

Almost surely, 2^988710117120 is an apocalyptic number.

988710117120 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 988710117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895751067392).

988710117120 is an abundant number, since it is smaller than the sum of its proper divisors (2802792017664).

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

988710117120 is a wasteful number, since it uses less digits than its factorization.

988710117120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 45.

The spelling of 988710117120 in words is "nine hundred eighty-eight billion, seven hundred ten million, one hundred seventeen thousand, one hundred twenty".