10452096000 has 528 divisors, whose sum is σ = 38723475648. Its totient is φ = 2709504000.

The previous prime is 10452095963. The next prime is 10452096019. The reversal of 10452096000 is 69025401.

10452096000 is a `hidden beast` number, since 1 + 0 + 4 + 52 + 0 + 9 + 600 + 0 = 666.

It is a congruent number.

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, 49535895 + ... + 49536105.

It is an arithmetic number, because the mean of its divisors is an integer number (73339916).

Almost surely, 2^10452096000 is an apocalyptic number.

10452096000 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 10452096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19361737824).

10452096000 is an abundant number, since it is smaller than the sum of its proper divisors (28271379648).

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

10452096000 is a wasteful number, since it uses less digits than its factorization.

10452096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 10452096000 in words is "ten billion, four hundred fifty-two million, ninety-six thousand".