5460516996480 has 2048 divisors, whose sum is σ = 24681213849600. Its totient is φ = 1124187144192.

The previous prime is 5460516996433. The next prime is 5460516996509. The reversal of 5460516996480 is 846996150645.

5460516996480 is a `hidden beast` number, since 5 + 4 + 6 + 0 + 5 + 1 + 69 + 96 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5476947342 + ... + 5476948338.

It is an arithmetic number, because the mean of its divisors is an integer number (12051373950).

Almost surely, 2^{5460516996480} 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 5460516996480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12340606924800).

5460516996480 is an abundant number, since it is smaller than the sum of its proper divisors (19220696853120).

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

5460516996480 is an equidigital number, since it uses as much as digits as its factorization.

5460516996480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 5460516996480 in words is "five trillion, four hundred sixty billion, five hundred sixteen million, nine hundred ninety-six thousand, four hundred eighty".