5407705817280 has 448 divisors, whose sum is σ = 20775537417600. Its totient is φ = 1316168663040.

The previous prime is 5407705817237. The next prime is 5407705817299. The reversal of 5407705817280 is 827185077045.

5407705817280 is a `hidden beast` number, since 54 + 0 + 7 + 7 + 0 + 581 + 7 + 2 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9726000 + ... + 10266960.

It is an arithmetic number, because the mean of its divisors is an integer number (46373967450).

Almost surely, 2^{5407705817280} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5407705817280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10387768708800).

5407705817280 is an abundant number, since it is smaller than the sum of its proper divisors (15367831600320).

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

5407705817280 is a wasteful number, since it uses less digits than its factorization.

5407705817280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541089 (or 541073 counting only the distinct ones).

The product of its (nonzero) digits is 4390400, while the sum is 54.

The spelling of 5407705817280 in words is "five trillion, four hundred seven billion, seven hundred five million, eight hundred seventeen thousand, two hundred eighty".