10305004452000 has 384 divisors, whose sum is σ = 34599993861888. Its totient is φ = 2679627776000.

The previous prime is 10305004451977. The next prime is 10305004452019. The reversal of 10305004452000 is 25440050301.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1307240059 + ... + 1307247941.

It is an arithmetic number, because the mean of its divisors is an integer number (90104150682).

Almost surely, 2^{10305004452000} is an apocalyptic number.

10305004452000 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 10305004452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17299996930944).

10305004452000 is an abundant number, since it is smaller than the sum of its proper divisors (24294989409888).

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

10305004452000 is a wasteful number, since it uses less digits than its factorization.

10305004452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10609 (or 10591 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The spelling of 10305004452000 in words is "ten trillion, three hundred five billion, four million, four hundred fifty-two thousand".