5416476065280 has 1440 divisors, whose sum is σ = 23241548588544. Its totient is φ = 1183632113664.

The previous prime is 5416476065233. The next prime is 5416476065309. The reversal of 5416476065280 is 825606746145.

5416476065280 is a `hidden beast` number, since 5 + 4 + 1 + 6 + 4 + 7 + 606 + 5 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×5416476065280² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2704180759 + ... + 2704182761.

Almost surely, 2^{5416476065280} 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 5416476065280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11620774294272).

5416476065280 is an abundant number, since it is smaller than the sum of its proper divisors (17825072523264).

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

5416476065280 is an frugal number, since it uses more digits than its factorization.

5416476065280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2080 (or 2043 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 5416476065280 in words is "five trillion, four hundred sixteen billion, four hundred seventy-six million, sixty-five thousand, two hundred eighty".