50121763200 has 576 divisors, whose sum is σ = 189909720000. Its totient is φ = 13046261760.

The previous prime is 50121763183. The next prime is 50121763247. The reversal of 50121763200 is 236712105.

It is a happy number.

50121763200 is a `hidden beast` number, since 5 + 0 + 1 + 21 + 7 + 632 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×50121763200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33436051 + ... + 33437549.

It is an arithmetic number, because the mean of its divisors is an integer number (329704375).

Almost surely, 2^50121763200 is an apocalyptic number.

50121763200 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 50121763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94954860000).

50121763200 is an abundant number, since it is smaller than the sum of its proper divisors (139787956800).

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

50121763200 is a wasteful number, since it uses less digits than its factorization.

50121763200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 50121763200 in words is "fifty billion, one hundred twenty-one million, seven hundred sixty-three thousand, two hundred".