5059425650400 has 576 divisors, whose sum is σ = 19985830824960. Its totient is φ = 1225046937600.

The previous prime is 5059425650387. The next prime is 5059425650407. The reversal of 5059425650400 is 40565249505.

5059425650400 is a `hidden beast` number, since 5 + 0 + 5 + 9 + 42 + 565 + 0 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5059425650407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 203610777 + ... + 203635623.

It is an arithmetic number, because the mean of its divisors is an integer number (34697622960).

Almost surely, 2^{5059425650400} is an apocalyptic number.

5059425650400 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 5059425650400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9992915412480).

5059425650400 is an abundant number, since it is smaller than the sum of its proper divisors (14926405174560).

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

5059425650400 is a wasteful number, since it uses less digits than its factorization.

5059425650400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25744 (or 25725 counting only the distinct ones).

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

The spelling of 5059425650400 in words is "five trillion, fifty-nine billion, four hundred twenty-five million, six hundred fifty thousand, four hundred".