5256919449600 has 2448 divisors, whose sum is σ = 23034253963392. Its totient is φ = 1046394961920.

The previous prime is 5256919449599. The next prime is 5256919449619. The reversal of 5256919449600 is 69449196525.

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 143 ways as a sum of consecutive naturals, for example, 72012595164 + ... + 72012595236.

Almost surely, 2^{5256919449600} is an apocalyptic number.

5256919449600 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 5256919449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11517126981696).

5256919449600 is an abundant number, since it is smaller than the sum of its proper divisors (17777334513792).

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

5256919449600 is a wasteful number, since it uses less digits than its factorization.

5256919449600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 60.

The spelling of 5256919449600 in words is "five trillion, two hundred fifty-six billion, nine hundred nineteen million, four hundred forty-nine thousand, six hundred".