50908896900 has 405 divisors, whose sum is σ = 174110770911. Its totient is φ = 12866325120.

The previous prime is 50908896889. The next prime is 50908896919. The reversal of 50908896900 is 969880905.

The square root of 50908896900 is 225630.

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 186650244 + 50722246656 = 13662^2 + 225216^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a super-2 number, since 2×50908896900² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 467054046 + ... + 467054154.

Almost surely, 2^50908896900 is an apocalyptic number.

50908896900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

50908896900 is the 225630-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50908896900

50908896900 is an abundant number, since it is smaller than the sum of its proper divisors (123201874011).

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

50908896900 is a wasteful number, since it uses less digits than its factorization.

50908896900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 50908896900 in words is "fifty billion, nine hundred eight million, eight hundred ninety-six thousand, nine hundred".