10845378600000 has 2016 divisors, whose sum is σ = 45287333425152. Its totient is φ = 2239142400000.

The previous prime is 10845378599987. The next prime is 10845378600031. The reversal of 10845378600000 is 687354801.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 287 ways as a sum of consecutive naturals, for example, 34872599845 + ... + 34872600155.

It is an arithmetic number, because the mean of its divisors is an integer number (22463955072).

Almost surely, 2^{10845378600000} is an apocalyptic number.

10845378600000 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 10845378600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22643666712576).

10845378600000 is an abundant number, since it is smaller than the sum of its proper divisors (34441954825152).

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

10845378600000 is an equidigital number, since it uses as much as digits as its factorization.

10845378600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 10845378600000 in words is "ten trillion, eight hundred forty-five billion, three hundred seventy-eight million, six hundred thousand".