5456717204400 has 2880 divisors, whose sum is σ = 25456633528320. Its totient is φ = 1106493696000.

The previous prime is 5456717204399. The next prime is 5456717204413. The reversal of 5456717204400 is 44027176545.

5456717204400 is a `hidden beast` number, since 54 + 567 + 17 + 20 + 4 + 4 + 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 575 ways as a sum of consecutive naturals, for example, 42966277137 + ... + 42966277263.

It is an arithmetic number, because the mean of its divisors is an integer number (8839108864).

Almost surely, 2^{5456717204400} is an apocalyptic number.

5456717204400 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 5456717204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12728316764160).

5456717204400 is an abundant number, since it is smaller than the sum of its proper divisors (19999916323920).

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

5456717204400 is a wasteful number, since it uses less digits than its factorization.

5456717204400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 5456717204400 in words is "five trillion, four hundred fifty-six billion, seven hundred seventeen million, two hundred four thousand, four hundred".