9947585700000 has 1440 divisors, whose sum is σ = 41703954869808. Its totient is φ = 2304184320000.

The previous prime is 9947585699977. The next prime is 9947585700007. The reversal of 9947585700000 is 75857499.

9947585700000 is a `hidden beast` number, since 99 + 475 + 85 + 7 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 6258743055504 + 3688842644496 = 2501748^2 + 1920636^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×9947585700000² (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 9947585700000.

It is not an unprimeable number, because it can be changed into a prime (9947585700007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1790097222 + ... + 1790102778.

Almost surely, 2^{9947585700000} is an apocalyptic number.

9947585700000 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 9947585700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20851977434904).

9947585700000 is an abundant number, since it is smaller than the sum of its proper divisors (31756369169808).

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

9947585700000 is a wasteful number, since it uses less digits than its factorization.

9947585700000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5634 (or 5597 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 9947585700000 in words is "nine trillion, nine hundred forty-seven billion, five hundred eighty-five million, seven hundred thousand".