10522304123040 has 768 divisors, whose sum is σ = 40054462156800. Its totient is φ = 2570809798656.

The previous prime is 10522304123039. The next prime is 10522304123081. The reversal of 10522304123040 is 4032140322501.

10522304123040 is a `hidden beast` number, since 1 + 0 + 52 + 2 + 304 + 1 + 2 + 304 + 0 = 666.

It is a super-2 number, since 2×10522304123040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10522304122995 and 10522304123013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 507161947 + ... + 507182693.

It is an arithmetic number, because the mean of its divisors is an integer number (52154247600).

Almost surely, 2^{10522304123040} is an apocalyptic number.

10522304123040 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 10522304123040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20027231078400).

10522304123040 is an abundant number, since it is smaller than the sum of its proper divisors (29532158033760).

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

10522304123040 is a wasteful number, since it uses less digits than its factorization.

10522304123040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20994 (or 20980 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 10522304123040 its reverse (4032140322501), we get a palindrome (14554444445541).

The spelling of 10522304123040 in words is "ten trillion, five hundred twenty-two billion, three hundred four million, one hundred twenty-three thousand, forty".