10080798720 has 384 divisors, whose sum is σ = 34673184000. Its totient is φ = 2491416576.

The previous prime is 10080798719. The next prime is 10080798773. The reversal of 10080798720 is 2789708001.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50657181 + ... + 50657379.

It is an arithmetic number, because the mean of its divisors is an integer number (90294750).

Almost surely, 2^10080798720 is an apocalyptic number.

10080798720 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 10080798720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17336592000).

10080798720 is an abundant number, since it is smaller than the sum of its proper divisors (24592385280).

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

10080798720 is a wasteful number, since it uses less digits than its factorization.

10080798720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 42.

The spelling of 10080798720 in words is "ten billion, eighty million, seven hundred ninety-eight thousand, seven hundred twenty".