10452573880320 has 1216 divisors, whose sum is σ = 40714199043840. Its totient is φ = 2254857830400.

The previous prime is 10452573880283. The next prime is 10452573880351. The reversal of 10452573880320 is 2308837525401.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10452573880320.

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, 16306667200 + ... + 16306667840.

Almost surely, 2^{10452573880320} is an apocalyptic number.

10452573880320 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 10452573880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20357099521920).

10452573880320 is an abundant number, since it is smaller than the sum of its proper divisors (30261625163520).

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

10452573880320 is an equidigital number, since it uses as much as digits as its factorization.

10452573880320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 10452573880320 in words is "ten trillion, four hundred fifty-two billion, five hundred seventy-three million, eight hundred eighty thousand, three hundred twenty".