50937910926400 has 189 divisors, whose sum is σ = 126538246698591. Its totient is φ = 20182063534080.

The previous prime is 50937910926389. The next prime is 50937910926601. The reversal of 50937910926400 is 462901973905.

It is a happy number.

The square root of 50937910926400 is 7137080.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 25915185764416 + 25022725161984 = 5090696^2 + 5002272^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 32259600811 + ... + 32259602389.

Almost surely, 2^{50937910926400} is an apocalyptic number.

50937910926400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

50937910926400 is the 7137080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50937910926400

50937910926400 is an abundant number, since it is smaller than the sum of its proper divisors (75600335772191).

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

50937910926400 is an frugal number, since it uses more digits than its factorization.

50937910926400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3406 (or 1699 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 55.

The spelling of 50937910926400 in words is "fifty trillion, nine hundred thirty-seven billion, nine hundred ten million, nine hundred twenty-six thousand, four hundred".