5460467212800 has 1920 divisors, whose sum is σ = 21941945625600. Its totient is φ = 1325458391040.

The previous prime is 5460467212793. The next prime is 5460467212859. The reversal of 5460467212800 is 82127640645.

5460467212800 is a `hidden beast` number, since 5 + 4 + 60 + 467 + 2 + 128 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23435481484 + ... + 23435481716.

It is an arithmetic number, because the mean of its divisors is an integer number (11428096680).

Almost surely, 2^{5460467212800} is an apocalyptic number.

5460467212800 is a gapful number since it is divisible by the number (50) 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 5460467212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10970972812800).

5460467212800 is an abundant number, since it is smaller than the sum of its proper divisors (16481478412800).

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

5460467212800 is a wasteful number, since it uses less digits than its factorization.

5460467212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 5460467212800 in words is "five trillion, four hundred sixty billion, four hundred sixty-seven million, two hundred twelve thousand, eight hundred".