10230124726800 has 1920 divisors, whose sum is σ = 43899390259200. Its totient is φ = 2233516032000.

The previous prime is 10230124726769. The next prime is 10230124726807. The reversal of 10230124726800 is 862742103201.

It is a happy number.

10230124726800 is a `hidden beast` number, since 10 + 2 + 301 + 247 + 26 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10230124726807) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10019710290 + ... + 10019711310.

It is an arithmetic number, because the mean of its divisors is an integer number (22864265760).

Almost surely, 2^{10230124726800} is an apocalyptic number.

10230124726800 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 10230124726800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21949695129600).

10230124726800 is an abundant number, since it is smaller than the sum of its proper divisors (33669265532400).

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

10230124726800 is a wasteful number, since it uses less digits than its factorization.

10230124726800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 10230124726800 in words is "ten trillion, two hundred thirty billion, one hundred twenty-four million, seven hundred twenty-six thousand, eight hundred".