5416149473280 has 4032 divisors, whose sum is σ = 26230684727520. Its totient is φ = 1059474898944.

The previous prime is 5416149473243. The next prime is 5416149473351. The reversal of 5416149473280 is 823749416145.

5416149473280 is a `hidden beast` number, since 5 + 4 + 1 + 6 + 1 + 494 + 73 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×5416149473280² (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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 80838051807 + ... + 80838051873.

It is a 1-persistent number, because it is pandigital, but 2⋅5416149473280 = 10832298946560 is not.

Almost surely, 2^{5416149473280} 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 5416149473280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13115342363760).

5416149473280 is an abundant number, since it is smaller than the sum of its proper divisors (20814535254240).

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

5416149473280 is a wasteful number, since it uses less digits than its factorization.

5416149473280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 5416149473280 in words is "five trillion, four hundred sixteen billion, one hundred forty-nine million, four hundred seventy-three thousand, two hundred eighty".