53209208190240 has 288 divisors, whose sum is σ = 184096316267136. Its totient is φ = 13992276234240.

The previous prime is 53209208190199. The next prime is 53209208190277. The reversal of 53209208190240 is 4209180290235.

53209208190240 is a `hidden beast` number, since 5 + 320 + 9 + 2 + 0 + 81 + 9 + 0 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×53209208190240³ (a number of 42 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 637721325 + ... + 637804755.

It is an arithmetic number, because the mean of its divisors is an integer number (639223320372).

Almost surely, 2^{53209208190240} 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 53209208190240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92048158133568).

53209208190240 is an abundant number, since it is smaller than the sum of its proper divisors (130887108076896).

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

53209208190240 is a wasteful number, since it uses less digits than its factorization.

53209208190240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89592 (or 89581 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 53209208190240 in words is "fifty-three trillion, two hundred nine billion, two hundred eight million, one hundred ninety thousand, two hundred forty".