5460503379984 has 405 divisors, whose sum is σ = 16636207322007. Its totient is φ = 1671707994624.

The previous prime is 5460503379973. The next prime is 5460503379997. The reversal of 5460503379984 is 4899733050645.

The square root of 5460503379984 is 2336772.

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

5460503379984 is a `hidden beast` number, since 5 + 4 + 6 + 0 + 503 + 37 + 9 + 98 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 52088019984 + 5408415360000 = 228228^2 + 2325600^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 19713008454 + ... + 19713008730.

Almost surely, 2^{5460503379984} is an apocalyptic number.

5460503379984 is the 2336772-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5460503379984

5460503379984 is an abundant number, since it is smaller than the sum of its proper divisors (11175703942023).

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

5460503379984 is a wasteful number, since it uses less digits than its factorization.

5460503379984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 5460503379984 in words is "five trillion, four hundred sixty billion, five hundred three million, three hundred seventy-nine thousand, nine hundred eighty-four".