10837800744960 has 1152 divisors, whose sum is σ = 42964871040000. Its totient is φ = 2330838171648.

The previous prime is 10837800744877. The next prime is 10837800745021. The reversal of 10837800744960 is 6944700873801.

It is a self number, because there is not a number n which added to its sum of digits gives 10837800744960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3045179661 + ... + 3045183219.

It is an arithmetic number, because the mean of its divisors is an integer number (37295895000).

Almost surely, 2^{10837800744960} is an apocalyptic number.

10837800744960 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 10837800744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21482435520000).

10837800744960 is an abundant number, since it is smaller than the sum of its proper divisors (32127070295040).

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

10837800744960 is an equidigital number, since it uses as much as digits as its factorization.

10837800744960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3644 (or 3593 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 57.

The spelling of 10837800744960 in words is "ten trillion, eight hundred thirty-seven billion, eight hundred million, seven hundred forty-four thousand, nine hundred sixty".