10023606835200 has 864 divisors, whose sum is σ = 42829953238800. Its totient is φ = 2291094650880.

The previous prime is 10023606835199. The next prime is 10023606835237. The reversal of 10023606835200 is 253860632001.

It is a happy number.

10023606835200 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 360 + 68 + 35 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 67663612 + ... + 67811588.

Almost surely, 2^{10023606835200} is an apocalyptic number.

10023606835200 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 10023606835200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21414976619400).

10023606835200 is an abundant number, since it is smaller than the sum of its proper divisors (32806346403600).

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

10023606835200 is a wasteful number, since it uses less digits than its factorization.

10023606835200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148032 (or 147994 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 10023606835200 in words is "ten trillion, twenty-three billion, six hundred six million, eight hundred thirty-five thousand, two hundred".