50135956200 has 576 divisors, whose sum is σ = 189869097600. Its totient is φ = 11750400000.

The previous prime is 50135956187. The next prime is 50135956201. The reversal of 50135956200 is 265953105.

50135956200 is a `hidden beast` number, since 5 + 0 + 1 + 3 + 595 + 62 + 0 + 0 = 666.

It is a super-2 number, since 2×50135956200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (50135956201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 122581596 + ... + 122582004.

It is an arithmetic number, because the mean of its divisors is an integer number (329633850).

Almost surely, 2^50135956200 is an apocalyptic number.

50135956200 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 50135956200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94934548800).

50135956200 is an abundant number, since it is smaller than the sum of its proper divisors (139733141400).

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

50135956200 is a wasteful number, since it uses less digits than its factorization.

50135956200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The spelling of 50135956200 in words is "fifty billion, one hundred thirty-five million, nine hundred fifty-six thousand, two hundred".