107480208094272 has 2688 divisors, whose sum is σ = 389363961692160. Its totient is φ = 29248429916160.

The previous prime is 107480208094271. The next prime is 107480208094283. The reversal of 107480208094272 is 272490802084701.

107480208094272 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 8 + 0 + 208 + 0 + 9 + 427 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (107480208094271) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 846300851073 + ... + 846300851199.

It is an arithmetic number, because the mean of its divisors is an integer number (144852664320).

Almost surely, 2^{107480208094272} is an apocalyptic number.

107480208094272 is a gapful number since it is divisible by the number (12) 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 107480208094272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194681980846080).

107480208094272 is an abundant number, since it is smaller than the sum of its proper divisors (281883753597888).

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

107480208094272 is a wasteful number, since it uses less digits than its factorization.

107480208094272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 107480208094272 in words is "one hundred seven trillion, four hundred eighty billion, two hundred eight million, ninety-four thousand, two hundred seventy-two".