107468405280 has 288 divisors, whose sum is σ = 389907737856. Its totient is φ = 26894579712.

The previous prime is 107468405221. The next prime is 107468405287. The reversal of 107468405280 is 82504864701.

107468405280 is a `hidden beast` number, since 1 + 0 + 7 + 46 + 84 + 0 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (107468405287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1724749 + ... + 1785971.

It is an arithmetic number, because the mean of its divisors is an integer number (1353846312).

Almost surely, 2^107468405280 is an apocalyptic number.

107468405280 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 107468405280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194953868928).

107468405280 is an abundant number, since it is smaller than the sum of its proper divisors (282439332576).

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

107468405280 is a wasteful number, since it uses less digits than its factorization.

107468405280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61320 (or 61309 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 107468405280 in words is "one hundred seven billion, four hundred sixty-eight million, four hundred five thousand, two hundred eighty".