50133621600 has 1008 divisors, whose sum is σ = 196727408640. Its totient is φ = 12447820800.

The previous prime is 50133621599. The next prime is 50133621649. The reversal of 50133621600 is 612633105.

50133621600 is a `hidden beast` number, since 5 + 0 + 1 + 3 + 36 + 21 + 600 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 849722371 + ... + 849722429.

It is an arithmetic number, because the mean of its divisors is an integer number (195166080).

Almost surely, 2^50133621600 is an apocalyptic number.

50133621600 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 50133621600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98363704320).

50133621600 is an abundant number, since it is smaller than the sum of its proper divisors (146593787040).

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

50133621600 is a wasteful number, since it uses less digits than its factorization.

50133621600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 50133621600 in words is "fifty billion, one hundred thirty-three million, six hundred twenty-one thousand, six hundred".