50905600 has 120 divisors (see below), whose sum is σ = 130530708. Its totient is φ = 19660800.

The previous prime is 50905583. The next prime is 50905619. The reversal of 50905600 is 650905.

50905600 = T₄₄₀ + T₄₄₁ + ... + T₇₃₀.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 5531904 + 45373696 = 2352^2 + 6736^2 .

It is a super-2 number, since 2×50905600² = 5182760222720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 524752 + ... + 524848.

Almost surely, 2^50905600 is an apocalyptic number.

50905600 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 50905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65265354).

50905600 is an abundant number, since it is smaller than the sum of its proper divisors (79625108).

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

50905600 is an equidigital number, since it uses as much as digits as its factorization.

50905600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 25.

The square root of 50905600 is about 7134.8160452811. The cubic root of 50905600 is about 370.6140279155.

The spelling of 50905600 in words is "fifty million, nine hundred five thousand, six hundred".