5460820485120 has 5632 divisors, whose sum is σ = 28735399526400. Its totient is φ = 945959731200.

The previous prime is 5460820485097. The next prime is 5460820485161. The reversal of 5460820485120 is 215840280645.

5460820485120 is a `hidden beast` number, since 5 + 4 + 608 + 20 + 4 + 8 + 5 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5632).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 81504783327 + ... + 81504783393.

Almost surely, 2^{5460820485120} 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 5460820485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14367699763200).

5460820485120 is an abundant number, since it is smaller than the sum of its proper divisors (23274579041280).

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

5460820485120 is a wasteful number, since it uses less digits than its factorization.

5460820485120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 5460820485120 in words is "five trillion, four hundred sixty billion, eight hundred twenty million, four hundred eighty-five thousand, one hundred twenty".