10009287680760 has 384 divisors, whose sum is σ = 34922038394880. Its totient is φ = 2477461008384.

The previous prime is 10009287680731. The next prime is 10009287680803. The reversal of 10009287680760 is 6708678290001.

It is a super-5 number, since 5×10009287680760⁵ (a number of 66 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10009287680697 and 10009287680706.

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 95 ways as a sum of consecutive naturals, for example, 145995049 + ... + 146063591.

It is an arithmetic number, because the mean of its divisors is an integer number (90942808320).

Almost surely, 2^{10009287680760} is an apocalyptic number.

10009287680760 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 10009287680760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17461019197440).

10009287680760 is an abundant number, since it is smaller than the sum of its proper divisors (24912750714120).

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

10009287680760 is a wasteful number, since it uses less digits than its factorization.

10009287680760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68907 (or 68900 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 10009287680760 in words is "ten trillion, nine billion, two hundred eighty-seven million, six hundred eighty thousand, seven hundred sixty".