10580937360 has 960 divisors, whose sum is σ = 44439060480. Its totient is φ = 2030469120.

The previous prime is 10580937337. The next prime is 10580937403. The reversal of 10580937360 is 6373908501.

It is a super-2 number, since 2×10580937360² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 285971262 + ... + 285971298.

It is an arithmetic number, because the mean of its divisors is an integer number (46290688).

Almost surely, 2^10580937360 is an apocalyptic number.

10580937360 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 10580937360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22219530240).

10580937360 is an abundant number, since it is smaller than the sum of its proper divisors (33858123120).

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

10580937360 is a wasteful number, since it uses less digits than its factorization.

10580937360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The spelling of 10580937360 in words is "ten billion, five hundred eighty million, nine hundred thirty-seven thousand, three hundred sixty".