10572832428480 has 448 divisors, whose sum is σ = 42637959936000. Its totient is φ = 2416024682496.

The previous prime is 10572832428467. The next prime is 10572832428497. The reversal of 10572832428480 is 8482423827501.

It is a happy number.

10572832428480 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 283 + 2 + 4 + 284 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×10572832428480² (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 63 ways as a sum of consecutive naturals, for example, 259378341 + ... + 259419099.

Almost surely, 2^{10572832428480} is an apocalyptic number.

10572832428480 is a gapful number since it is divisible by the number (10) 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 10572832428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21318979968000).

10572832428480 is an abundant number, since it is smaller than the sum of its proper divisors (32065127507520).

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

10572832428480 is a wasteful number, since it uses less digits than its factorization.

10572832428480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45081 (or 45065 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 10572832428480 in words is "ten trillion, five hundred seventy-two billion, eight hundred thirty-two million, four hundred twenty-eight thousand, four hundred eighty".