5459819904 has 480 divisors, whose sum is σ = 20640513960. Its totient is φ = 1416683520.

The previous prime is 5459819881. The next prime is 5459819921. The reversal of 5459819904 is 4099189545.

5459819904 is a `hidden beast` number, since 545 + 9 + 8 + 1 + 9 + 90 + 4 = 666.

It is a super-2 number, since 2×5459819904² = 59619266768229138432, which 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 59 ways as a sum of consecutive naturals, for example, 5587864 + ... + 5588840.

Almost surely, 2^5459819904 is an apocalyptic number.

5459819904 is a gapful number since it is divisible by the number (54) 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 5459819904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10320256980).

5459819904 is an abundant number, since it is smaller than the sum of its proper divisors (15180694056).

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

5459819904 is a wasteful number, since it uses less digits than its factorization.

5459819904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The square root of 5459819904 is about 73890.5941510826. The cubic root of 5459819904 is about 1760.8651806855.

The spelling of 5459819904 in words is "five billion, four hundred fifty-nine million, eight hundred nineteen thousand, nine hundred four".