10938788441280 has 1120 divisors, whose sum is σ = 46328539783680. Its totient is φ = 2397871226880.

The previous prime is 10938788441279. The next prime is 10938788441359. The reversal of 10938788441280 is 8214488783901.

10938788441280 is a `hidden beast` number, since 1 + 0 + 9 + 38 + 7 + 88 + 441 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 438890899 + ... + 438915821.

It is an arithmetic number, because the mean of its divisors is an integer number (41364767664).

Almost surely, 2^{10938788441280} is an apocalyptic number.

10938788441280 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 10938788441280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23164269891840).

10938788441280 is an abundant number, since it is smaller than the sum of its proper divisors (35389751342400).

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

10938788441280 is a wasteful number, since it uses less digits than its factorization.

10938788441280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25059 (or 25040 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The spelling of 10938788441280 in words is "ten trillion, nine hundred thirty-eight billion, seven hundred eighty-eight million, four hundred forty-one thousand, two hundred eighty".