10236410800 has 480 divisors, whose sum is σ = 32308789248. Its totient is φ = 3024000000.

The previous prime is 10236410773. The next prime is 10236410801. The reversal of 10236410800 is 801463201.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (10236410801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67790725 + ... + 67790875.

Almost surely, 2^10236410800 is an apocalyptic number.

10236410800 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 10236410800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16154394624).

10236410800 is an abundant number, since it is smaller than the sum of its proper divisors (22072378448).

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

10236410800 is a wasteful number, since it uses less digits than its factorization.

10236410800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The spelling of 10236410800 in words is "ten billion, two hundred thirty-six million, four hundred ten thousand, eight hundred".