9788978122560 has 2240 divisors, whose sum is σ = 43863368102400. Its totient is φ = 2017474117632.

The previous prime is 9788978122537. The next prime is 9788978122597. The reversal of 9788978122560 is 652218798879.

It is a tau number, because it is divible by the number of its divisors (2240).

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 319 ways as a sum of consecutive naturals, for example, 23933931636 + ... + 23933932044.

It is an arithmetic number, because the mean of its divisors is an integer number (19581860760).

Almost surely, 2^{9788978122560} is an apocalyptic number.

9788978122560 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 9788978122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21931684051200).

9788978122560 is an abundant number, since it is smaller than the sum of its proper divisors (34074389979840).

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

9788978122560 is a wasteful number, since it uses less digits than its factorization.

9788978122560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 72.

The spelling of 9788978122560 in words is "nine trillion, seven hundred eighty-eight billion, nine hundred seventy-eight million, one hundred twenty-two thousand, five hundred sixty".