9625505218560 has 1200 divisors, whose sum is σ = 43025451194880. Its totient is φ = 1999998812160.

The previous prime is 9625505218513. The next prime is 9625505218577. The reversal of 9625505218560 is 658125055269.

It is a happy number.

9625505218560 is a `hidden beast` number, since 9 + 6 + 2 + 5 + 50 + 5 + 21 + 8 + 560 = 666.

It is a super-3 number, since 3×9625505218560³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 9625505218497 and 9625505218506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 510925621 + ... + 510944459.

Almost surely, 2^{9625505218560} is an apocalyptic number.

9625505218560 is a gapful number since it is divisible by the number (90) 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 9625505218560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21512725597440).

9625505218560 is an abundant number, since it is smaller than the sum of its proper divisors (33399945976320).

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

9625505218560 is a wasteful number, since it uses less digits than its factorization.

9625505218560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18902 (or 18867 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 54.

The spelling of 9625505218560 in words is "nine trillion, six hundred twenty-five billion, five hundred five million, two hundred eighteen thousand, five hundred sixty".