10423954800 has 1200 divisors, whose sum is σ = 46884499200. Its totient is φ = 2164838400.

The previous prime is 10423954771. The next prime is 10423954813. The reversal of 10423954800 is 845932401.

10423954800 is a `hidden beast` number, since 104 + 2 + 3 + 9 + 548 + 0 + 0 = 666.

10423954800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1200).

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 239 ways as a sum of consecutive naturals, for example, 176677171 + ... + 176677229.

It is an arithmetic number, because the mean of its divisors is an integer number (39070416).

Almost surely, 2^10423954800 is an apocalyptic number.

10423954800 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 10423954800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23442249600).

10423954800 is an abundant number, since it is smaller than the sum of its proper divisors (36460544400).

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

10423954800 is a wasteful number, since it uses less digits than its factorization.

10423954800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10423954800 in words is "ten billion, four hundred twenty-three million, nine hundred fifty-four thousand, eight hundred".