50365785600 has 720 divisors, whose sum is σ = 196240044000. Its totient is φ = 12335431680.

The previous prime is 50365785571. The next prime is 50365785661. The reversal of 50365785600 is 658756305.

50365785600 is a `hidden beast` number, since 5 + 0 + 36 + 5 + 7 + 8 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 253094301 + ... + 253094499.

Almost surely, 2^50365785600 is an apocalyptic number.

50365785600 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 50365785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98120022000).

50365785600 is an abundant number, since it is smaller than the sum of its proper divisors (145874258400).

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

50365785600 is a wasteful number, since it uses less digits than its factorization.

50365785600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 50365785600 in words is "fifty billion, three hundred sixty-five million, seven hundred eighty-five thousand, six hundred".