9978954969600 has 480 divisors, whose sum is σ = 37521025375680. Its totient is φ = 2596147200000.

The previous prime is 9978954969569. The next prime is 9978954969617. The reversal of 9978954969600 is 69694598799.

9978954969600 is a `hidden beast` number, since 9 + 9 + 7 + 8 + 9 + 549 + 6 + 9 + 60 + 0 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 9978954969600.

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, 13817475 + ... + 14521725.

It is an arithmetic number, because the mean of its divisors is an integer number (78168802866).

Almost surely, 2^{9978954969600} is an apocalyptic number.

9978954969600 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 9978954969600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18760512687840).

9978954969600 is an abundant number, since it is smaller than the sum of its proper divisors (27542070406080).

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

9978954969600 is a wasteful number, since it uses less digits than its factorization.

9978954969600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704329 (or 704302 counting only the distinct ones).

The product of its (nonzero) digits is 2380855680, while the sum is 81.

The spelling of 9978954969600 in words is "nine trillion, nine hundred seventy-eight billion, nine hundred fifty-four million, nine hundred sixty-nine thousand, six hundred".