9957922947000 has 1024 divisors, whose sum is σ = 40379129856000. Its totient is φ = 2222842176000.

The previous prime is 9957922946893. The next prime is 9957922947023. The reversal of 9957922947000 is 7492297599.

9957922947000 is a `hidden beast` number, since 9 + 9 + 57 + 92 + 29 + 470 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5498576095 + ... + 5498577905.

It is an arithmetic number, because the mean of its divisors is an integer number (39432744000).

Almost surely, 2^{9957922947000} is an apocalyptic number.

9957922947000 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 9957922947000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20189564928000).

9957922947000 is an abundant number, since it is smaller than the sum of its proper divisors (30421206909000).

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

9957922947000 is a wasteful number, since it uses less digits than its factorization.

9957922947000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2514 (or 2494 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 63.

The spelling of 9957922947000 in words is "nine trillion, nine hundred fifty-seven billion, nine hundred twenty-two million, nine hundred forty-seven thousand".