10973038080 has 320 divisors, whose sum is σ = 37260115200. Its totient is φ = 2747105280.

The previous prime is 10973038079. The next prime is 10973038081. The reversal of 10973038080 is 8083037901.

It is an interprime number because it is at equal distance from previous prime (10973038079) and next prime (10973038081).

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10973038081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20282610 + ... + 20283150.

It is an arithmetic number, because the mean of its divisors is an integer number (116437860).

Almost surely, 2^10973038080 is an apocalyptic number.

10973038080 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 10973038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18630057600).

10973038080 is an abundant number, since it is smaller than the sum of its proper divisors (26287077120).

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

10973038080 is a wasteful number, since it uses less digits than its factorization.

10973038080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 10973038080 in words is "ten billion, nine hundred seventy-three million, thirty-eight thousand, eighty".