107777728480 has 24 divisors (see below), whose sum is σ = 254624883912. Its totient is φ = 43111091328.

The previous prime is 107777728411. The next prime is 107777728481. The reversal of 107777728480 is 84827777701.

It is a super-2 number, since 2×107777728480² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107777728481) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 336805242 + ... + 336805561.

It is an arithmetic number, because the mean of its divisors is an integer number (10609370163).

Almost surely, 2^107777728480 is an apocalyptic number.

107777728480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107777728480 is an abundant number, since it is smaller than the sum of its proper divisors (146847155432).

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

107777728480 is an equidigital number, since it uses as much as digits as its factorization.

107777728480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673610818 (or 673610810 counting only the distinct ones).

The product of its (nonzero) digits is 8605184, while the sum is 58.

The spelling of 107777728480 in words is "one hundred seven billion, seven hundred seventy-seven million, seven hundred twenty-eight thousand, four hundred eighty".