10807351680 has 256 divisors, whose sum is σ = 35717299200. Its totient is φ = 2777628672.

The previous prime is 10807351669. The next prime is 10807351699. The reversal of 10807351680 is 8615370801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6521412 + ... + 6523068.

It is an arithmetic number, because the mean of its divisors is an integer number (139520700).

Almost surely, 2^10807351680 is an apocalyptic number.

10807351680 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 10807351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17858649600).

10807351680 is an abundant number, since it is smaller than the sum of its proper divisors (24909947520).

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

10807351680 is a wasteful number, since it uses less digits than its factorization.

10807351680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 10807351680 in words is "ten billion, eight hundred seven million, three hundred fifty-one thousand, six hundred eighty".