5420755082400 has 576 divisors, whose sum is σ = 20390534922240. Its totient is φ = 1225216512000.

The previous prime is 5420755082321. The next prime is 5420755082423. The reversal of 5420755082400 is 42805570245.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1844420131 + ... + 1844423069.

It is an arithmetic number, because the mean of its divisors is an integer number (35400234240).

Almost surely, 2^{5420755082400} is an apocalyptic number.

5420755082400 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 5420755082400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10195267461120).

5420755082400 is an abundant number, since it is smaller than the sum of its proper divisors (14969779839840).

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

5420755082400 is a wasteful number, since it uses less digits than its factorization.

5420755082400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4157 (or 4144 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 42.

The spelling of 5420755082400 in words is "five trillion, four hundred twenty billion, seven hundred fifty-five million, eighty-two thousand, four hundred".