5469822758400 has 2880 divisors, whose sum is σ = 25455725729280. Its totient is φ = 999810662400.

The previous prime is 5469822758371. The next prime is 5469822758461. The reversal of 5469822758400 is 48572289645.

It is a super-2 number, since 2×5469822758400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 20333913466 + ... + 20333913734.

It is an arithmetic number, because the mean of its divisors is an integer number (8838793656).

Almost surely, 2^{5469822758400} is an apocalyptic number.

5469822758400 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 5469822758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12727862864640).

5469822758400 is an abundant number, since it is smaller than the sum of its proper divisors (19985902970880).

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

5469822758400 is a wasteful number, since it uses less digits than its factorization.

5469822758400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 60.

The spelling of 5469822758400 in words is "five trillion, four hundred sixty-nine billion, eight hundred twenty-two million, seven hundred fifty-eight thousand, four hundred".