5137000377600 has 2592 divisors, whose sum is σ = 23241858425856. Its totient is φ = 985949798400.

The previous prime is 5137000377599. The next prime is 5137000377637. The reversal of 5137000377600 is 67730007315.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6445420402 + ... + 6445421198.

It is an arithmetic number, because the mean of its divisors is an integer number (8966766368).

Almost surely, 2^{5137000377600} is an apocalyptic number.

5137000377600 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 5137000377600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11620929212928).

5137000377600 is an abundant number, since it is smaller than the sum of its proper divisors (18104858048256).

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

5137000377600 is a wasteful number, since it uses less digits than its factorization.

5137000377600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 92610, while the sum is 39.

The spelling of 5137000377600 in words is "five trillion, one hundred thirty-seven billion, three hundred seventy-seven thousand, six hundred".