53329840050240 has 1120 divisors, whose sum is σ = 216562781524320. Its totient is φ = 12340920582144.

The previous prime is 53329840050233. The next prime is 53329840050241. The reversal of 53329840050240 is 4205004892335.

53329840050240 is a `hidden beast` number, since 5 + 3 + 3 + 29 + 84 + 0 + 0 + 502 + 40 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 18672976858176 + 34656863192064 = 4321224^2 + 5887008^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (53329840050241) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5459084076 + ... + 5459093844.

It is an arithmetic number, because the mean of its divisors is an integer number (193359626361).

Almost surely, 2^{53329840050240} 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 53329840050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108281390762160).

53329840050240 is an abundant number, since it is smaller than the sum of its proper divisors (163232941474080).

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

53329840050240 is a wasteful number, since it uses less digits than its factorization.

53329840050240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10781 (or 10762 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 53329840050240 in words is "fifty-three trillion, three hundred twenty-nine billion, eight hundred forty million, fifty thousand, two hundred forty".