5137416437760 has 480 divisors, whose sum is σ = 18538970929920. Its totient is φ = 1349491359744.

The previous prime is 5137416437737. The next prime is 5137416437761. The reversal of 5137416437760 is 677346147315.

5137416437760 is a `hidden beast` number, since 5 + 137 + 4 + 1 + 6 + 437 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5137416437697 and 5137416437706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5137416437761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148175947 + ... + 148210613.

It is an arithmetic number, because the mean of its divisors is an integer number (38622856104).

Almost surely, 2^{5137416437760} 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 5137416437760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9269485464960).

5137416437760 is an abundant number, since it is smaller than the sum of its proper divisors (13401554492160).

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

5137416437760 is an equidigital number, since it uses as much as digits as its factorization.

5137416437760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34776 (or 34744 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 5137416437760 in words is "five trillion, one hundred thirty-seven billion, four hundred sixteen million, four hundred thirty-seven thousand, seven hundred sixty".