50509461600 has 720 divisors, whose sum is σ = 210095490528. Its totient is φ = 11698421760.

The previous prime is 50509461593. The next prime is 50509461671. The reversal of 50509461600 is 616490505.

50509461600 is a `hidden beast` number, since 5 + 0 + 5 + 0 + 9 + 46 + 1 + 600 = 666.

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

It is a super-2 number, since 2×50509461600² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14319037 + ... + 14322563.

Almost surely, 2^50509461600 is an apocalyptic number.

50509461600 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 50509461600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105047745264).

50509461600 is an abundant number, since it is smaller than the sum of its proper divisors (159586028928).

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

50509461600 is a wasteful number, since it uses less digits than its factorization.

50509461600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3589 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 50509461600 in words is "fifty billion, five hundred nine million, four hundred sixty-one thousand, six hundred".