10189628496000 has 1024 divisors, whose sum is σ = 38427556377600. Its totient is φ = 2653146316800.

The previous prime is 10189628495987. The next prime is 10189628496007. The reversal of 10189628496000 is 69482698101.

10189628496000 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 9 + 6 + 28 + 4 + 9 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10189628496007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3248206432 + ... + 3248209568.

It is an arithmetic number, because the mean of its divisors is an integer number (37526910525).

Almost surely, 2^{10189628496000} is an apocalyptic number.

10189628496000 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 10189628496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19213778188800).

10189628496000 is an abundant number, since it is smaller than the sum of its proper divisors (28237927881600).

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

10189628496000 is a wasteful number, since it uses less digits than its factorization.

10189628496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3351 (or 3323 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 10189628496000 in words is "ten trillion, one hundred eighty-nine billion, six hundred twenty-eight million, four hundred ninety-six thousand".