52510219554240 has 1008 divisors, whose sum is σ = 214762713984000. Its totient is φ = 11736496041984.

The previous prime is 52510219554223. The next prime is 52510219554251. The reversal of 52510219554240 is 4245591201525.

52510219554240 is a `hidden beast` number, since 5 + 2 + 5 + 1 + 0 + 219 + 5 + 5 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9279060531 + ... + 9279066189.

It is an arithmetic number, because the mean of its divisors is an integer number (213058248000).

Almost surely, 2^{52510219554240} 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 52510219554240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107381356992000).

52510219554240 is an abundant number, since it is smaller than the sum of its proper divisors (162252494429760).

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

52510219554240 is a wasteful number, since it uses less digits than its factorization.

52510219554240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7142 (or 7122 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The spelling of 52510219554240 in words is "fifty-two trillion, five hundred ten billion, two hundred nineteen million, five hundred fifty-four thousand, two hundred forty".