5406260428800 has 2304 divisors, whose sum is σ = 24644263737600. Its totient is φ = 1100375654400.

The previous prime is 5406260428721. The next prime is 5406260428837. The reversal of 5406260428800 is 88240626045.

5406260428800 is a `hidden beast` number, since 540 + 6 + 2 + 6 + 0 + 4 + 28 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 50525798347 + ... + 50525798453.

It is an arithmetic number, because the mean of its divisors is an integer number (10696295025).

Almost surely, 2^{5406260428800} is an apocalyptic number.

5406260428800 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 5406260428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12322131868800).

5406260428800 is an abundant number, since it is smaller than the sum of its proper divisors (19238003308800).

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

5406260428800 is a wasteful number, since it uses less digits than its factorization.

5406260428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 5406260428800 in words is "five trillion, four hundred six billion, two hundred sixty million, four hundred twenty-eight thousand, eight hundred".