10737586560 has 256 divisors, whose sum is σ = 35744716800. Its totient is φ = 2738503680.

The previous prime is 10737586499. The next prime is 10737586567. The reversal of 10737586560 is 6568573701.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10737586567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5296267 + ... + 5298293.

It is an arithmetic number, because the mean of its divisors is an integer number (139627800).

Almost surely, 2^10737586560 is an apocalyptic number.

10737586560 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 10737586560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17872358400).

10737586560 is an abundant number, since it is smaller than the sum of its proper divisors (25007130240).

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

10737586560 is a wasteful number, since it uses less digits than its factorization.

10737586560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2169 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 48.

The spelling of 10737586560 in words is "ten billion, seven hundred thirty-seven million, five hundred eighty-six thousand, five hundred sixty".