5137792693488 has 360 divisors, whose sum is σ = 18215277116400. Its totient is φ = 1339795150848.

The previous prime is 5137792693471. The next prime is 5137792693603. The reversal of 5137792693488 is 8843962977315.

5137792693488 is a `hidden beast` number, since 5 + 1 + 37 + 7 + 9 + 26 + 93 + 488 = 666.

It is a super-2 number, since 2×5137792693488² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7849123 + ... + 8478461.

It is an arithmetic number, because the mean of its divisors is an integer number (50597991990).

Almost surely, 2^{5137792693488} 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 5137792693488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9107638558200).

5137792693488 is an abundant number, since it is smaller than the sum of its proper divisors (13077484422912).

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

5137792693488 is a wasteful number, since it uses less digits than its factorization.

5137792693488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629469 (or 629453 counting only the distinct ones).

The product of its digits is 548674560, while the sum is 72.

The spelling of 5137792693488 in words is "five trillion, one hundred thirty-seven billion, seven hundred ninety-two million, six hundred ninety-three thousand, four hundred eighty-eight".