5207653775520 has 1440 divisors, whose sum is σ = 21999465734400. Its totient is φ = 1156187934720.

The previous prime is 5207653775503. The next prime is 5207653775521. The reversal of 5207653775520 is 255773567025.

5207653775520 is a `hidden beast` number, since 5 + 20 + 7 + 65 + 3 + 7 + 7 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5207653775521) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 4447184535 + ... + 4447185705.

It is an arithmetic number, because the mean of its divisors is an integer number (15277406760).

Almost surely, 2^{5207653775520} 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 5207653775520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10999732867200).

5207653775520 is an abundant number, since it is smaller than the sum of its proper divisors (16791811958880).

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

5207653775520 is a wasteful number, since it uses less digits than its factorization.

5207653775520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 15435000, while the sum is 54.

The spelling of 5207653775520 in words is "five trillion, two hundred seven billion, six hundred fifty-three million, seven hundred seventy-five thousand, five hundred twenty".