10905837390720 has 1024 divisors, whose sum is σ = 40552604467200. Its totient is φ = 2767409971200.

The previous prime is 10905837390697. The next prime is 10905837390731. The reversal of 10905837390720 is 2709373850901.

10905837390720 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 583 + 7 + 39 + 0 + 7 + 20 = 666.

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

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 127 ways as a sum of consecutive naturals, for example, 5488593567 + ... + 5488595553.

It is an arithmetic number, because the mean of its divisors is an integer number (39602152800).

Almost surely, 2^{10905837390720} is an apocalyptic number.

10905837390720 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 10905837390720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20276302233600).

10905837390720 is an abundant number, since it is smaller than the sum of its proper divisors (29646767076480).

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

10905837390720 is a wasteful number, since it uses less digits than its factorization.

10905837390720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 10905837390720 in words is "ten trillion, nine hundred five billion, eight hundred thirty-seven million, three hundred ninety thousand, seven hundred twenty".