10128343680000 has 4400 divisors, whose sum is σ = 49397744161920. Its totient is φ = 2006581248000.

The previous prime is 10128343679953. The next prime is 10128343680067. The reversal of 10128343680000 is 8634382101.

10128343680000 is a `hidden beast` number, since 10 + 1 + 283 + 4 + 368 + 0 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 89631359944 + ... + 89631360056.

Almost surely, 2^{10128343680000} is an apocalyptic number.

10128343680000 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 10128343680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24698872080960).

10128343680000 is an abundant number, since it is smaller than the sum of its proper divisors (39269400481920).

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

10128343680000 is a wasteful number, since it uses less digits than its factorization.

10128343680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 10128343680000 in words is "ten trillion, one hundred twenty-eight billion, three hundred forty-three million, six hundred eighty thousand".