10738716301300 has 144 divisors (see below), whose sum is σ = 25677502159680. Its totient is φ = 3873942236160.

The previous prime is 10738716301283. The next prime is 10738716301403. The reversal of 10738716301300 is 310361783701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12072624 + ... + 12931576.

It is an arithmetic number, because the mean of its divisors is an integer number (178315987220).

Almost surely, 2^{10738716301300} is an apocalyptic number.

10738716301300 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 10738716301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12838751079840).

10738716301300 is an abundant number, since it is smaller than the sum of its proper divisors (14938785858380).

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

10738716301300 is a wasteful number, since it uses less digits than its factorization.

10738716301300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859202 (or 859195 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The spelling of 10738716301300 in words is "ten trillion, seven hundred thirty-eight billion, seven hundred sixteen million, three hundred one thousand, three hundred".