10445052000 has 192 divisors, whose sum is σ = 34633557504. Its totient is φ = 2751526400.

The previous prime is 10445051993. The next prime is 10445052017. The reversal of 10445052000 is 25054401.

It is a super-2 number, since 2×10445052000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 990757 + ... + 1001243.

It is an arithmetic number, because the mean of its divisors is an integer number (180383112).

Almost surely, 2^10445052000 is an apocalyptic number.

10445052000 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 10445052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17316778752).

10445052000 is an abundant number, since it is smaller than the sum of its proper divisors (24188505504).

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

10445052000 is a wasteful number, since it uses less digits than its factorization.

10445052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10598 (or 10580 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The spelling of 10445052000 in words is "ten billion, four hundred forty-five million, fifty-two thousand".