5419275456 has 224 divisors, whose sum is σ = 18001244160. Its totient is φ = 1402942464.

The previous prime is 5419275397. The next prime is 5419275457. The reversal of 5419275456 is 6545729145.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (5419275457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 582715 + ... + 591941.

Almost surely, 2^5419275456 is an apocalyptic number.

5419275456 is a gapful number since it is divisible by the number (56) 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 5419275456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9000622080).

5419275456 is an abundant number, since it is smaller than the sum of its proper divisors (12581968704).

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

5419275456 is a wasteful number, since it uses less digits than its factorization.

5419275456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9291 (or 9281 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 48.

The square root of 5419275456 is about 73615.7283194291. The cubic root of 5419275456 is about 1756.4956372339.

It can be divided in two parts, 5419 and 275456, that added together give a triangular number (280875 = T₇₄₉).

The spelling of 5419275456 in words is "five billion, four hundred nineteen million, two hundred seventy-five thousand, four hundred fifty-six".