553953555417600 has 1920 divisors, whose sum is σ = 2262731175936000. Its totient is φ = 131818453401600.

The previous prime is 553953555417583. The next prime is 553953555417643. The reversal of 553953555417600 is 6714555359355.

553953555417600 is a `hidden beast` number, since 5 + 5 + 3 + 9 + 5 + 3 + 5 + 5 + 5 + 4 + 17 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 194848241779 + ... + 194848244621.

It is an arithmetic number, because the mean of its divisors is an integer number (1178505820800).

Almost surely, 2^{553953555417600} is an apocalyptic number.

553953555417600 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 553953555417600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131365587968000).

553953555417600 is an abundant number, since it is smaller than the sum of its proper divisors (1708777620518400).

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

553953555417600 is a wasteful number, since it uses less digits than its factorization.

553953555417600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4323 (or 4296 counting only the distinct ones).

The product of its (nonzero) digits is 212625000, while the sum is 63.

The spelling of 553953555417600 in words is "five hundred fifty-three trillion, nine hundred fifty-three billion, five hundred fifty-five million, four hundred seventeen thousand, six hundred".