5419258084900 has 81 divisors (see below), whose sum is σ = 12926661028113. Its totient is φ = 1970546186400.

The previous prime is 5419258084883. The next prime is 5419258084937. The reversal of 5419258084900 is 94808529145.

The square root of 5419258084900 is 2327930.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1950932910564 + 3468325174336 = 1396758^2 + 1862344^2 .

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 256061719 + ... + 256082881.

Almost surely, 2^{5419258084900} is an apocalyptic number.

5419258084900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5419258084900 is the 2327930-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5419258084900

5419258084900 is an abundant number, since it is smaller than the sum of its proper divisors (7507402943213).

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

5419258084900 is an equidigital number, since it uses as much as digits as its factorization.

5419258084900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42362 (or 21181 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 55.

The spelling of 5419258084900 in words is "five trillion, four hundred nineteen billion, two hundred fifty-eight million, eighty-four thousand, nine hundred".