5138524215360 has 560 divisors, whose sum is σ = 19187941360896. Its totient is φ = 1302822309888.

The previous prime is 5138524215353. The next prime is 5138524215361. The reversal of 5138524215360 is 635124258315.

It is a happy number.

5138524215360 is a `hidden beast` number, since 5 + 1 + 38 + 5 + 242 + 15 + 360 = 666.

It is a super-2 number, since 2×5138524215360² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (5138524215361) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 99532914 + ... + 99584526.

Almost surely, 2^{5138524215360} 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 5138524215360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9593970680448).

5138524215360 is an abundant number, since it is smaller than the sum of its proper divisors (14049417145536).

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

5138524215360 is a wasteful number, since it uses less digits than its factorization.

5138524215360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51832 (or 51813 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 5138524215360 in words is "five trillion, one hundred thirty-eight billion, five hundred twenty-four million, two hundred fifteen thousand, three hundred sixty".