10973841164928 has 512 divisors, whose sum is σ = 35073533952000. Its totient is φ = 3369674649600.

The previous prime is 10973841164927. The next prime is 10973841164977. The reversal of 10973841164928 is 82946114837901.

10973841164928 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 384 + 1 + 164 + 92 + 8 = 666.

10973841164928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10973841164927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 220568151 + ... + 220617897.

It is an arithmetic number, because the mean of its divisors is an integer number (68502996000).

Almost surely, 2^{10973841164928} is an apocalyptic number.

10973841164928 is a gapful number since it is divisible by the number (18) 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 10973841164928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17536766976000).

10973841164928 is an abundant number, since it is smaller than the sum of its proper divisors (24099692787072).

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

10973841164928 is a wasteful number, since it uses less digits than its factorization.

10973841164928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49901 (or 49883 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 10973841164928 in words is "ten trillion, nine hundred seventy-three billion, eight hundred forty-one million, one hundred sixty-four thousand, nine hundred twenty-eight".