5419905903360 has 2592 divisors, whose sum is σ = 22859028541440. Its totient is φ = 1221363007488.

The previous prime is 5419905903337. The next prime is 5419905903413. The reversal of 5419905903360 is 633095099145.

5419905903360 is a `hidden beast` number, since 5 + 4 + 19 + 9 + 0 + 590 + 3 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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

It is a junction number, because it is equal to n+sod(n) for n = 5419905903297 and 5419905903306.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 68606403801 + ... + 68606403879.

Almost surely, 2^{5419905903360} 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 5419905903360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11429514270720).

5419905903360 is an abundant number, since it is smaller than the sum of its proper divisors (17439122638080).

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

5419905903360 is a wasteful number, since it uses less digits than its factorization.

5419905903360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 3936600, while the sum is 54.

The spelling of 5419905903360 in words is "five trillion, four hundred nineteen billion, nine hundred five million, nine hundred three thousand, three hundred sixty".