5240506461120 has 672 divisors, whose sum is σ = 21839521406976. Its totient is φ = 1127855923200.

The previous prime is 5240506461107. The next prime is 5240506461163. The reversal of 5240506461120 is 211646050425.

5240506461120 is a `hidden beast` number, since 5 + 2 + 4 + 0 + 5 + 0 + 646 + 1 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

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 95 ways as a sum of consecutive naturals, for example, 23010205 + ... + 23236835.

It is an arithmetic number, because the mean of its divisors is an integer number (32499287808).

Almost surely, 2^{5240506461120} 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 5240506461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10919760703488).

5240506461120 is an abundant number, since it is smaller than the sum of its proper divisors (16599014945856).

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

5240506461120 is a wasteful number, since it uses less digits than its factorization.

5240506461120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226729 (or 226716 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 5240506461120 in words is "five trillion, two hundred forty billion, five hundred six million, four hundred sixty-one thousand, one hundred twenty".