10326142800 has 180 divisors, whose sum is σ = 37720864480. Its totient is φ = 2608692480.

The previous prime is 10326142793. The next prime is 10326142861. The reversal of 10326142800 is 824162301.

10326142800 is a `hidden beast` number, since 10 + 32 + 614 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 7084 + ... + 143883.

Almost surely, 2^10326142800 is an apocalyptic number.

10326142800 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 10326142800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18860432240).

10326142800 is an abundant number, since it is smaller than the sum of its proper divisors (27394721680).

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

10326142800 is a wasteful number, since it uses less digits than its factorization.

10326142800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151010 (or 150996 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 10326142800 in words is "ten billion, three hundred twenty-six million, one hundred forty-two thousand, eight hundred".