9271950601056 has 576 divisors, whose sum is σ = 29945484366336. Its totient is φ = 2487789158400.

The previous prime is 9271950601027. The next prime is 9271950601057. The reversal of 9271950601056 is 6501060591729.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9271950601057) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 468815040 + ... + 468834816.

It is an arithmetic number, because the mean of its divisors is an integer number (51988688136).

Almost surely, 2^{9271950601056} is an apocalyptic number.

9271950601056 is a gapful number since it is divisible by the number (96) 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 9271950601056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14972742183168).

9271950601056 is an abundant number, since it is smaller than the sum of its proper divisors (20673533765280).

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

9271950601056 is a wasteful number, since it uses less digits than its factorization.

9271950601056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19935 (or 19914 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 51.

The spelling of 9271950601056 in words is "nine trillion, two hundred seventy-one billion, nine hundred fifty million, six hundred one thousand, fifty-six".