9947053972800 has 672 divisors, whose sum is σ = 42777635389440. Its totient is φ = 2200267929600.

The previous prime is 9947053972789. The next prime is 9947053972813. The reversal of 9947053972800 is 82793507499.

9947053972800 is a `hidden beast` number, since 9 + 9 + 4 + 70 + 539 + 7 + 28 + 0 + 0 = 666.

9947053972800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 8843857 + ... + 9904943.

It is an arithmetic number, because the mean of its divisors is an integer number (63657195520).

Almost surely, 2^{9947053972800} is an apocalyptic number.

9947053972800 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 9947053972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21388817694720).

9947053972800 is an abundant number, since it is smaller than the sum of its proper divisors (32830581416640).

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

9947053972800 is a wasteful number, since it uses less digits than its factorization.

9947053972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061156 (or 1061135 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 9947053972800 in words is "nine trillion, nine hundred forty-seven billion, fifty-three million, nine hundred seventy-two thousand, eight hundred".