52185414240 has 192 divisors, whose sum is σ = 182770560000. Its totient is φ = 13906847232.

The previous prime is 52185414227. The next prime is 52185414263. The reversal of 52185414240 is 4241458125.

52185414240 is a `hidden beast` number, since 5 + 218 + 5 + 414 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 52185414195 and 52185414204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8632659 + ... + 8638701.

It is an arithmetic number, because the mean of its divisors is an integer number (951930000).

Almost surely, 2^52185414240 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 52185414240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91385280000).

52185414240 is an abundant number, since it is smaller than the sum of its proper divisors (130585145760).

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

52185414240 is a wasteful number, since it uses less digits than its factorization.

52185414240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8066 (or 8052 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 52185414240 in words is "fifty-two billion, one hundred eighty-five million, four hundred fourteen thousand, two hundred forty".