10045252800 has 336 divisors, whose sum is σ = 39949526400. Its totient is φ = 2435097600.

The previous prime is 10045252799. The next prime is 10045252813. The reversal of 10045252800 is 825254001.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 464631 + ... + 485769.

It is an arithmetic number, because the mean of its divisors is an integer number (118897400).

Almost surely, 2^10045252800 is an apocalyptic number.

10045252800 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 10045252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19974763200).

10045252800 is an abundant number, since it is smaller than the sum of its proper divisors (29904273600).

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

10045252800 is a wasteful number, since it uses less digits than its factorization.

10045252800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21181 (or 21160 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 10045252800 in words is "ten billion, forty-five million, two hundred fifty-two thousand, eight hundred".