5135181865440 has 768 divisors, whose sum is σ = 19046636421120. Its totient is φ = 1149549649920.

The previous prime is 5135181865417. The next prime is 5135181865441. The reversal of 5135181865440 is 445681815315.

It is a super-2 number, since 2×5135181865440² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5135181865441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2816884369 + ... + 2816886191.

It is an arithmetic number, because the mean of its divisors is an integer number (24800307840).

Almost surely, 2^{5135181865440} 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 5135181865440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9523318210560).

5135181865440 is an abundant number, since it is smaller than the sum of its proper divisors (13911454555680).

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

5135181865440 is a wasteful number, since it uses less digits than its factorization.

5135181865440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2567 (or 2559 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 51.

The spelling of 5135181865440 in words is "five trillion, one hundred thirty-five billion, one hundred eighty-one million, eight hundred sixty-five thousand, four hundred forty".