5405677728000 has 1152 divisors, whose sum is σ = 20021853196800. Its totient is φ = 1281753088000.

The previous prime is 5405677727977. The next prime is 5405677728023. The reversal of 5405677728000 is 8277765045.

It is an interprime number because it is at equal distance from previous prime (5405677727977) and next prime (5405677728023).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10620191746 + ... + 10620192254.

It is an arithmetic number, because the mean of its divisors is an integer number (17380080900).

Almost surely, 2^{5405677728000} is an apocalyptic number.

5405677728000 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 5405677728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10010926598400).

5405677728000 is an abundant number, since it is smaller than the sum of its proper divisors (14616175468800).

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

5405677728000 is a wasteful number, since it uses less digits than its factorization.

5405677728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 3292800, while the sum is 51.

The spelling of 5405677728000 in words is "five trillion, four hundred five billion, six hundred seventy-seven million, seven hundred twenty-eight thousand".