5456263680000 has 2340 divisors, whose sum is σ = 23891130703440. Its totient is φ = 1240178688000.

The previous prime is 5456263679939. The next prime is 5456263680011. The reversal of 5456263680000 is 863626545.

5456263680000 is a `hidden beast` number, since 5 + 4 + 5 + 6 + 2 + 636 + 8 + 0 + 0 + 0 + 0 = 666.

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 179 ways as a sum of consecutive naturals, for example, 30481919911 + ... + 30481920089.

It is an arithmetic number, because the mean of its divisors is an integer number (10209884916).

Almost surely, 2^{5456263680000} is an apocalyptic number.

5456263680000 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 5456263680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11945565351720).

5456263680000 is an abundant number, since it is smaller than the sum of its proper divisors (18434867023440).

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

5456263680000 is an frugal number, since it uses more digits than its factorization.

5456263680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 5456263680000 in words is "five trillion, four hundred fifty-six billion, two hundred sixty-three million, six hundred eighty thousand".