50125845600 has 864 divisors, whose sum is σ = 198253560960. Its totient is φ = 12317184000.

The previous prime is 50125845589. The next prime is 50125845611. The reversal of 50125845600 is 654852105.

50125845600 is a `hidden beast` number, since 5 + 0 + 1 + 2 + 5 + 8 + 45 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (50125845589) and next prime (50125845611).

It is a tau number, because it is divible by the number of its divisors (864).

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 143 ways as a sum of consecutive naturals, for example, 151437435 + ... + 151437765.

It is an arithmetic number, because the mean of its divisors is an integer number (229460140).

Almost surely, 2^50125845600 is an apocalyptic number.

50125845600 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 50125845600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99126780480).

50125845600 is an abundant number, since it is smaller than the sum of its proper divisors (148127715360).

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

50125845600 is a wasteful number, since it uses less digits than its factorization.

50125845600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 50125845600 in words is "fifty billion, one hundred twenty-five million, eight hundred forty-five thousand, six hundred".