5456072321280 has 1728 divisors, whose sum is σ = 23886190540800. Its totient is φ = 1172595916800.

The previous prime is 5456072321269. The next prime is 5456072321309. The reversal of 5456072321280 is 821232706545.

5456072321280 is a `hidden beast` number, since 5 + 4 + 5 + 607 + 2 + 32 + 1 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4858478799 + ... + 4858479921.

Almost surely, 2^{5456072321280} 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 5456072321280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11943095270400).

5456072321280 is an abundant number, since it is smaller than the sum of its proper divisors (18430118219520).

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

5456072321280 is a wasteful number, since it uses less digits than its factorization.

5456072321280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 5456072321280 in words is "five trillion, four hundred fifty-six billion, seventy-two million, three hundred twenty-one thousand, two hundred eighty".