50129352000 has 1008 divisors, whose sum is σ = 224849478672. Its totient is φ = 10567065600.

The previous prime is 50129351983. The next prime is 50129352029. The reversal of 50129352000 is 25392105.

50129352000 is a `hidden beast` number, since 50 + 1 + 2 + 93 + 520 + 0 + 0 = 666.

50129352000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 10228490496 + 39900861504 = 101136^2 + 199752^2 .

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

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, 45863454 + ... + 45864546.

It is an arithmetic number, because the mean of its divisors is an integer number (223064959).

Almost surely, 2^50129352000 is an apocalyptic number.

50129352000 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 50129352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112424739336).

50129352000 is an abundant number, since it is smaller than the sum of its proper divisors (174720126672).

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

50129352000 is a wasteful number, since it uses less digits than its factorization.

50129352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 50129352000 in words is "fifty billion, one hundred twenty-nine million, three hundred fifty-two thousand".