10807137360 has 240 divisors, whose sum is σ = 36844458768. Its totient is φ = 2838528000.

The previous prime is 10807137349. The next prime is 10807137379. The reversal of 10807137360 is 6373170801.

It can be written as a sum of positive squares in 8 ways, for example, as 359026704 + 10448110656 = 18948^2 + 102216^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25669950 + ... + 25670370.

Almost surely, 2^10807137360 is an apocalyptic number.

10807137360 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 10807137360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18422229384).

10807137360 is an abundant number, since it is smaller than the sum of its proper divisors (26037321408).

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

10807137360 is a wasteful number, since it uses less digits than its factorization.

10807137360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 10807137360 in words is "ten billion, eight hundred seven million, one hundred thirty-seven thousand, three hundred sixty".