10573345456128 has 1344 divisors, whose sum is σ = 41075991028800. Its totient is φ = 2641807540224.

The previous prime is 10573345456067. The next prime is 10573345456159. The reversal of 10573345456128 is 82165454337501.

It is a happy number.

10573345456128 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 3 + 3 + 4 + 54 + 561 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×10573345456128² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 556491866103 + ... + 556491866121.

It is an arithmetic number, because the mean of its divisors is an integer number (30562493325).

Almost surely, 2^{10573345456128} is an apocalyptic number.

10573345456128 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 10573345456128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20537995514400).

10573345456128 is an abundant number, since it is smaller than the sum of its proper divisors (30502645572672).

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

10573345456128 is an frugal number, since it uses more digits than its factorization.

10573345456128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 10573345456128 in words is "ten trillion, five hundred seventy-three billion, three hundred forty-five million, four hundred fifty-six thousand, one hundred twenty-eight".