53026560385920 has 1536 divisors, whose sum is σ = 212504015808000. Its totient is φ = 12386038579200.

The previous prime is 53026560385913. The next prime is 53026560385949. The reversal of 53026560385920 is 2958306562035.

53026560385920 is a `hidden beast` number, since 5 + 3 + 0 + 2 + 6 + 5 + 603 + 8 + 5 + 9 + 20 = 666.

It is a super-2 number, since 2×53026560385920² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 61730570451 + ... + 61730571309.

It is an arithmetic number, because the mean of its divisors is an integer number (138348968625).

Almost surely, 2^{53026560385920} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53026560385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106252007904000).

53026560385920 is an abundant number, since it is smaller than the sum of its proper divisors (159477455422080).

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

53026560385920 is a wasteful number, since it uses less digits than its factorization.

53026560385920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 53026560385920 in words is "fifty-three trillion, twenty-six billion, five hundred sixty million, three hundred eighty-five thousand, nine hundred twenty".