10571973368832 has 528 divisors, whose sum is σ = 32130726001920. Its totient is φ = 3433534562304.

The previous prime is 10571973368821. The next prime is 10571973368833. The reversal of 10571973368832 is 23886337917501.

10571973368832 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 197 + 3 + 368 + 83 + 2 = 666.

10571973368832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10571973368832² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10571973368832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10571973368833) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12783522403 + ... + 12783523229.

Almost surely, 2^{10571973368832} is an apocalyptic number.

10571973368832 is a gapful number since it is divisible by the number (12) 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 10571973368832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16065363000960).

10571973368832 is an abundant number, since it is smaller than the sum of its proper divisors (21558752633088).

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

10571973368832 is an equidigital number, since it uses as much as digits as its factorization.

10571973368832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 10571973368832 in words is "ten trillion, five hundred seventy-one billion, nine hundred seventy-three million, three hundred sixty-eight thousand, eight hundred thirty-two".