5263952711040 has 512 divisors, whose sum is σ = 19759597488000. Its totient is φ = 1319825571840.

The previous prime is 5263952711029. The next prime is 5263952711047. The reversal of 5263952711040 is 401172593625.

5263952711040 is a `hidden beast` number, since 5 + 2 + 6 + 3 + 9 + 527 + 110 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5263952711047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 311670916 + ... + 311687804.

Almost surely, 2^{5263952711040} 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 5263952711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9879798744000).

5263952711040 is an abundant number, since it is smaller than the sum of its proper divisors (14495644776960).

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

5263952711040 is a wasteful number, since it uses less digits than its factorization.

5263952711040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17995 (or 17977 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 5263952711040 in words is "five trillion, two hundred sixty-three billion, nine hundred fifty-two million, seven hundred eleven thousand, forty".