10573305122016 has 2160 divisors, whose sum is σ = 41848060305744. Its totient is φ = 2605608456192.

The previous prime is 10573305122011. The next prime is 10573305122041. The reversal of 10573305122016 is 61022150337501.

10573305122016 is a `hidden beast` number, since 1 + 0 + 57 + 330 + 51 + 220 + 1 + 6 = 666.

It is a super-2 number, since 2×10573305122016² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10573305122011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 144839796156 + ... + 144839796228.

Almost surely, 2^{10573305122016} is an apocalyptic number.

10573305122016 is a gapful number since it is divisible by the number (16) 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 10573305122016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20924030152872).

10573305122016 is an abundant number, since it is smaller than the sum of its proper divisors (31274755183728).

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

10573305122016 is an frugal number, since it uses more digits than its factorization.

10573305122016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

Adding to 10573305122016 its reverse (61022150337501), we get a palindrome (71595455459517).

The spelling of 10573305122016 in words is "ten trillion, five hundred seventy-three billion, three hundred five million, one hundred twenty-two thousand, sixteen".