50552114400 has 432 divisors, whose sum is σ = 192239414640. Its totient is φ = 12458188800.

The previous prime is 50552114317. The next prime is 50552114401. The reversal of 50552114400 is 441125505.

50552114400 is a `hidden beast` number, since 5 + 0 + 5 + 5 + 211 + 440 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50552114401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5604294 + ... + 5613306.

It is an arithmetic number, because the mean of its divisors is an integer number (444998645).

Almost surely, 2^50552114400 is an apocalyptic number.

50552114400 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 50552114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96119707320).

50552114400 is an abundant number, since it is smaller than the sum of its proper divisors (141687300240).

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

50552114400 is a wasteful number, since it uses less digits than its factorization.

50552114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9099 (or 9083 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

Adding to 50552114400 its reverse (441125505), we get a palindrome (50993239905).

It can be divided in two parts, 505521 and 14400, that multiplied together give a square (7279502400 = 85320²).

The spelling of 50552114400 in words is "fifty billion, five hundred fifty-two million, one hundred fourteen thousand, four hundred".