9978551200 has 288 divisors, whose sum is σ = 26849781504. Its totient is φ = 3606282240.

The previous prime is 9978551189. The next prime is 9978551213. The reversal of 9978551200 is 21558799.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42826284 + ... + 42826516.

It is an arithmetic number, because the mean of its divisors is an integer number (93228408).

Almost surely, 2^9978551200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9978551200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13424890752).

9978551200 is an abundant number, since it is smaller than the sum of its proper divisors (16871230304).

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

9978551200 is a wasteful number, since it uses less digits than its factorization.

9978551200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 46.

The square root of 9978551200 is about 99892.6984318674. The cubic root of 9978551200 is about 2152.8932528141.

The spelling of 9978551200 in words is "nine billion, nine hundred seventy-eight million, five hundred fifty-one thousand, two hundred".