10549138680 has 160 divisors (see below), whose sum is σ = 35572141440. Its totient is φ = 2803956480.

The previous prime is 10549138661. The next prime is 10549138693. The reversal of 10549138680 is 8683194501.

10549138680 is a `hidden beast` number, since 1 + 0 + 5 + 491 + 3 + 86 + 80 = 666.

10549138680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 102709²-1.

It is a super-2 number, since 2×10549138680² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1021945 + ... + 1032215.

It is an arithmetic number, because the mean of its divisors is an integer number (222325884).

Almost surely, 2^10549138680 is an apocalyptic number.

10549138680 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 10549138680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17786070720).

10549138680 is an abundant number, since it is smaller than the sum of its proper divisors (25023002760).

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

10549138680 is a wasteful number, since it uses less digits than its factorization.

10549138680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10611 (or 10598 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 10549138680 in words is "ten billion, five hundred forty-nine million, one hundred thirty-eight thousand, six hundred eighty".