5137874096000 has 512 divisors, whose sum is σ = 13793301924480. Its totient is φ = 1896244838400.

The previous prime is 5137874095979. The next prime is 5137874096009. The reversal of 5137874096000 is 6904787315.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 5137874096000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5137874096009) 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, 4683567452 + ... + 4683568548.

Almost surely, 2^{5137874096000} is an apocalyptic number.

5137874096000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5137874096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6896650962240).

5137874096000 is an abundant number, since it is smaller than the sum of its proper divisors (8655427828480).

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

5137874096000 is a wasteful number, since it uses less digits than its factorization.

5137874096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 50.

The spelling of 5137874096000 in words is "five trillion, one hundred thirty-seven billion, eight hundred seventy-four million, ninety-six thousand".