5262740755200 has 648 divisors, whose sum is σ = 19963309766400. Its totient is φ = 1318124912640.

The previous prime is 5262740755171. The next prime is 5262740755231. The reversal of 5262740755200 is 25570472625.

5262740755200 is a `hidden beast` number, since 5 + 26 + 2 + 74 + 0 + 7 + 552 + 0 + 0 = 666.

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

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 71 ways as a sum of consecutive naturals, for example, 498407521 + ... + 498418079.

It is an arithmetic number, because the mean of its divisors is an integer number (30807576800).

Almost surely, 2^{5262740755200} is an apocalyptic number.

5262740755200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5262740755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9981654883200).

5262740755200 is an abundant number, since it is smaller than the sum of its proper divisors (14700569011200).

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

5262740755200 is a wasteful number, since it uses less digits than its factorization.

5262740755200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11117 (or 11095 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 45.

The spelling of 5262740755200 in words is "five trillion, two hundred sixty-two billion, seven hundred forty million, seven hundred fifty-five thousand, two hundred".