10128378252800 has 240 divisors, whose sum is σ = 25454679961392. Its totient is φ = 3993452544000.

The previous prime is 10128378252793. The next prime is 10128378252809. The reversal of 10128378252800 is 825287382101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10128378252809) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 293448344 + ... + 293482856.

Almost surely, 2^{10128378252800} is an apocalyptic number.

10128378252800 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 10128378252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12727339980696).

10128378252800 is an abundant number, since it is smaller than the sum of its proper divisors (15326301708592).

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

10128378252800 is a wasteful number, since it uses less digits than its factorization.

10128378252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34869 (or 34848 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 47.

The spelling of 10128378252800 in words is "ten trillion, one hundred twenty-eight billion, three hundred seventy-eight million, two hundred fifty-two thousand, eight hundred".