10061452800 has 480 divisors, whose sum is σ = 42216345600. Its totient is φ = 2299207680.

The previous prime is 10061452781. The next prime is 10061452903. The reversal of 10061452800 is 825416001.

It is a tau number, because it is divible by the number of its divisors (480).

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

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, 2417121 + ... + 2421279.

It is an arithmetic number, because the mean of its divisors is an integer number (87950720).

Almost surely, 2^10061452800 is an apocalyptic number.

10061452800 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 10061452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21108172800).

10061452800 is an abundant number, since it is smaller than the sum of its proper divisors (32154892800).

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

10061452800 is an equidigital number, since it uses as much as digits as its factorization.

10061452800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4203 (or 4176 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 10061452800 its reverse (825416001), we get a palindrome (10886868801).

The spelling of 10061452800 in words is "ten billion, sixty-one million, four hundred fifty-two thousand, eight hundred".