10132225426800 has 600 divisors, whose sum is σ = 39322096456896. Its totient is φ = 2488877383680.

The previous prime is 10132225426789. The next prime is 10132225426901. The reversal of 10132225426800 is 862452223101.

10132225426800 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 2 + 225 + 426 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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 119 ways as a sum of consecutive naturals, for example, 25691904 + ... + 26083296.

Almost surely, 2^{10132225426800} is an apocalyptic number.

10132225426800 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 10132225426800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19661048228448).

10132225426800 is an abundant number, since it is smaller than the sum of its proper divisors (29189871030096).

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

10132225426800 is a wasteful number, since it uses less digits than its factorization.

10132225426800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391487 (or 391467 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 10132225426800 its reverse (862452223101), we get a palindrome (10994677649901).

The spelling of 10132225426800 in words is "ten trillion, one hundred thirty-two billion, two hundred twenty-five million, four hundred twenty-six thousand, eight hundred".