10452945600 has 252 divisors, whose sum is σ = 38434883760. Its totient is φ = 2691225600.

The previous prime is 10452945577. The next prime is 10452945619. The reversal of 10452945600 is 654925401.

10452945600 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 2 + 9 + 45 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 405085 + ... + 430115.

It is an arithmetic number, because the mean of its divisors is an integer number (152519380).

Almost surely, 2^10452945600 is an apocalyptic number.

10452945600 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 10452945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19217441880).

10452945600 is an abundant number, since it is smaller than the sum of its proper divisors (27981938160).

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

10452945600 is a wasteful number, since it uses less digits than its factorization.

10452945600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25088 (or 25070 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 10452945600 in words is "ten billion, four hundred fifty-two million, nine hundred forty-five thousand, six hundred".