50765600 has 144 divisors (see below), whose sum is σ = 134991360. Its totient is φ = 18585600.

The previous prime is 50765567. The next prime is 50765633. The reversal of 50765600 is 656705.

It is an interprime number because it is at equal distance from previous prime (50765567) and next prime (50765633).

It is a super-2 number, since 2×50765600² = 5154292286720000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 570356 + ... + 570444.

It is an arithmetic number, because the mean of its divisors is an integer number (937440).

Almost surely, 2^50765600 is an apocalyptic number.

50765600 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 50765600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67495680).

50765600 is an abundant number, since it is smaller than the sum of its proper divisors (84225760).

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

50765600 is a wasteful number, since it uses less digits than its factorization.

50765600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 29.

The square root of 50765600 is about 7124.9982456138. The cubic root of 50765600 is about 370.2739631543.

The spelling of 50765600 in words is "fifty million, seven hundred sixty-five thousand, six hundred".