9978508800 has 480 divisors, whose sum is σ = 39461120160. Its totient is φ = 2455142400.

The previous prime is 9978508781. The next prime is 9978508801. The reversal of 9978508800 is 88058799.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9978508801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4491690 + ... + 4493910.

It is an arithmetic number, because the mean of its divisors is an integer number (82210667).

Almost surely, 2^9978508800 is an apocalyptic number.

9978508800 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 9978508800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19730560080).

9978508800 is an abundant number, since it is smaller than the sum of its proper divisors (29482611360).

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

9978508800 is a wasteful number, since it uses less digits than its factorization.

9978508800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2271 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The square root of 9978508800 is about 99892.4862039183. The cubic root of 9978508800 is about 2152.8902035136.

The spelling of 9978508800 in words is "nine billion, nine hundred seventy-eight million, five hundred eight thousand, eight hundred".