5405450029056 has 2880 divisors, whose sum is σ = 22471657528320. Its totient is φ = 1261279641600.

The previous prime is 5405450029037. The next prime is 5405450029099. The reversal of 5405450029056 is 6509200545045.

5405450029056 is a `hidden beast` number, since 5 + 4 + 0 + 5 + 4 + 500 + 2 + 90 + 56 = 666.

It is a super-2 number, since 2×5405450029056² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 74047260636 + ... + 74047260708.

It is an arithmetic number, because the mean of its divisors is an integer number (7802658864).

Almost surely, 2^{5405450029056} is an apocalyptic number.

5405450029056 is a gapful number since it is divisible by the number (56) 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 5405450029056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11235828764160).

5405450029056 is an abundant number, since it is smaller than the sum of its proper divisors (17066207499264).

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

5405450029056 is a wasteful number, since it uses less digits than its factorization.

5405450029056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 5405450029056 in words is "five trillion, four hundred five billion, four hundred fifty million, twenty-nine thousand, fifty-six".