50152715827200 has 1440 divisors, whose sum is σ = 216630017604000. Its totient is φ = 11463152762880.

The previous prime is 50152715827103. The next prime is 50152715827211. The reversal of 50152715827200 is 272851725105.

50152715827200 is a `hidden beast` number, since 5 + 0 + 1 + 527 + 1 + 58 + 2 + 72 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 119 ways as a sum of consecutive naturals, for example, 1422471972 + ... + 1422507228.

It is an arithmetic number, because the mean of its divisors is an integer number (150437512225).

Almost surely, 2^{50152715827200} is an apocalyptic number.

50152715827200 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 50152715827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108315008802000).

50152715827200 is an abundant number, since it is smaller than the sum of its proper divisors (166477301776800).

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

50152715827200 is an equidigital number, since it uses as much as digits as its factorization.

50152715827200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35322 (or 35274 counting only the distinct ones).

The product of its (nonzero) digits is 392000, while the sum is 45.

The spelling of 50152715827200 in words is "fifty trillion, one hundred fifty-two billion, seven hundred fifteen million, eight hundred twenty-seven thousand, two hundred".