10109736880000 has 320 divisors, whose sum is σ = 25939349251200. Its totient is φ = 3921249024000.

The previous prime is 10109736879959. The next prime is 10109736880021. The reversal of 10109736880000 is 8863790101.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 478149429 + ... + 478170571.

It is an arithmetic number, because the mean of its divisors is an integer number (81060466410).

Almost surely, 2^{10109736880000} is an apocalyptic number.

10109736880000 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 10109736880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12969674625600).

10109736880000 is an abundant number, since it is smaller than the sum of its proper divisors (15829612371200).

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

10109736880000 is an equidigital number, since it uses as much as digits as its factorization.

10109736880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21359 (or 21332 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 43.

The spelling of 10109736880000 in words is "ten trillion, one hundred nine billion, seven hundred thirty-six million, eight hundred eighty thousand".