9820025550864 has 225 divisors, whose sum is σ = 28915839075981. Its totient is φ = 3217424250240.

The previous prime is 9820025550857. The next prime is 9820025550911. The reversal of 9820025550864 is 4680555200289.

The square root of 9820025550864 is 3133692.

It is a perfect power (a square), and thus also a powerful number.

9820025550864 is a `hidden beast` number, since 9 + 8 + 2 + 0 + 0 + 2 + 5 + 550 + 86 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 319328968464 + 9500696582400 = 565092^2 + 3082320^2 .

It is a super-2 number, since 2×9820025550864² (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 9820025550864.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 6881586919 + ... + 6881588345.

Almost surely, 2^{9820025550864} is an apocalyptic number.

9820025550864 is the 3133692-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9820025550864

9820025550864 is an abundant number, since it is smaller than the sum of its proper divisors (19095813525117).

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

9820025550864 is an frugal number, since it uses more digits than its factorization.

9820025550864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2996 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 9820025550864 in words is "nine trillion, eight hundred twenty billion, twenty-five million, five hundred fifty thousand, eight hundred sixty-four".