10452199680 has 432 divisors, whose sum is σ = 39534034176. Its totient is φ = 2534031360.

The previous prime is 10452199651. The next prime is 10452199739. The reversal of 10452199680 is 8699125401.

10452199680 is a `hidden beast` number, since 1 + 0 + 452 + 199 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10632469 + ... + 10633451.

It is an arithmetic number, because the mean of its divisors is an integer number (91513968).

Almost surely, 2^10452199680 is an apocalyptic number.

10452199680 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 10452199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19767017088).

10452199680 is an abundant number, since it is smaller than the sum of its proper divisors (29081834496).

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

10452199680 is a wasteful number, since it uses less digits than its factorization.

10452199680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 10452199680 in words is "ten billion, four hundred fifty-two million, one hundred ninety-nine thousand, six hundred eighty".