50945025600 has 1008 divisors, whose sum is σ = 221680186560. Its totient is φ = 11341209600.

The previous prime is 50945025563. The next prime is 50945025611. The reversal of 50945025600 is 652054905.

50945025600 is a `hidden beast` number, since 5 + 0 + 9 + 45 + 0 + 2 + 5 + 600 = 666.

50945025600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 86788507 + ... + 86789093.

It is an arithmetic number, because the mean of its divisors is an integer number (219920820).

Almost surely, 2^50945025600 is an apocalyptic number.

50945025600 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 50945025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110840093280).

50945025600 is an abundant number, since it is smaller than the sum of its proper divisors (170735160960).

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

50945025600 is a wasteful number, since it uses less digits than its factorization.

50945025600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 50945025600 in words is "fifty billion, nine hundred forty-five million, twenty-five thousand, six hundred".