5223785945400 has 576 divisors, whose sum is σ = 20292643687680. Its totient is φ = 1190184652800.

The previous prime is 5223785945393. The next prime is 5223785945401. The reversal of 5223785945400 is 45495873225.

5223785945400 is a `hidden beast` number, since 5 + 2 + 2 + 3 + 7 + 8 + 5 + 94 + 540 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5223785945401) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 244697527 + ... + 244718873.

It is an arithmetic number, because the mean of its divisors is an integer number (35230284180).

Almost surely, 2^{5223785945400} is an apocalyptic number.

5223785945400 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 5223785945400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10146321843840).

5223785945400 is an abundant number, since it is smaller than the sum of its proper divisors (15068857742280).

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

5223785945400 is a wasteful number, since it uses less digits than its factorization.

5223785945400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22124 (or 22112 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 5223785945400 in words is "five trillion, two hundred twenty-three billion, seven hundred eighty-five million, nine hundred forty-five thousand, four hundred".