50390917200 has 360 divisors, whose sum is σ = 199402971768. Its totient is φ = 11674091520.

The previous prime is 50390917151. The next prime is 50390917207. The reversal of 50390917200 is 271909305.

50390917200 is a `hidden beast` number, since 50 + 390 + 9 + 17 + 200 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 21145813056 + 29245104144 = 145416^2 + 171012^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50390917207) 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, 763932 + ... + 827268.

Almost surely, 2^50390917200 is an apocalyptic number.

50390917200 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 50390917200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99701485884).

50390917200 is an abundant number, since it is smaller than the sum of its proper divisors (149012054568).

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

50390917200 is a wasteful number, since it uses less digits than its factorization.

50390917200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63391 (or 63377 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The spelling of 50390917200 in words is "fifty billion, three hundred ninety million, nine hundred seventeen thousand, two hundred".