10452499200 has 1296 divisors, whose sum is σ = 46498023936. Its totient is φ = 2289254400.

The previous prime is 10452499159. The next prime is 10452499219. The reversal of 10452499200 is 299425401.

10452499200 is a `hidden beast` number, since 104 + 524 + 9 + 9 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 222393577 + ... + 222393623.

Almost surely, 2^10452499200 is an apocalyptic number.

10452499200 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 10452499200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23249011968).

10452499200 is an abundant number, since it is smaller than the sum of its proper divisors (36045524736).

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

10452499200 is a wasteful number, since it uses less digits than its factorization.

10452499200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 10452499200 in words is "ten billion, four hundred fifty-two million, four hundred ninety-nine thousand, two hundred".