107428814380800 has 2592 divisors, whose sum is σ = 461184482304000. Its totient is φ = 23550767923200.

The previous prime is 107428814380759. The next prime is 107428814380801. The reversal of 107428814380800 is 8083418824701.

107428814380800 is a `hidden beast` number, since 1 + 0 + 74 + 288 + 143 + 80 + 80 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107428814380801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 74655186481 + ... + 74655187919.

It is an arithmetic number, because the mean of its divisors is an integer number (177926112000).

Almost surely, 2^{107428814380800} is an apocalyptic number.

107428814380800 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 107428814380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230592241152000).

107428814380800 is an abundant number, since it is smaller than the sum of its proper divisors (353755667923200).

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

107428814380800 is a wasteful number, since it uses less digits than its factorization.

107428814380800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 107428814380800 in words is "one hundred seven trillion, four hundred twenty-eight billion, eight hundred fourteen million, three hundred eighty thousand, eight hundred".