5137088260800 has 336 divisors, whose sum is σ = 18182057872032. Its totient is φ = 1264980787200.

The previous prime is 5137088260781. The next prime is 5137088260813. The reversal of 5137088260800 is 80628807315.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5137088260800.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3730890 + ... + 4918710.

Almost surely, 2^{5137088260800} is an apocalyptic number.

5137088260800 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 5137088260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9091028936016).

5137088260800 is an abundant number, since it is smaller than the sum of its proper divisors (13044969611232).

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

5137088260800 is a wasteful number, since it uses less digits than its factorization.

5137088260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187916 (or 1187901 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 5137088260800 in words is "five trillion, one hundred thirty-seven billion, eighty-eight million, two hundred sixty thousand, eight hundred".