50229381820800 has 768 divisors, whose sum is σ = 204747815301120. Its totient is φ = 10539262771200.

The previous prime is 50229381820799. The next prime is 50229381820853. The reversal of 50229381820800 is 802818392205.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 50229381820800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 157962769 + ... + 158280431.

It is an arithmetic number, because the mean of its divisors is an integer number (266598717840).

Almost surely, 2^{50229381820800} is an apocalyptic number.

50229381820800 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 50229381820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102373907650560).

50229381820800 is an abundant number, since it is smaller than the sum of its proper divisors (154518433480320).

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

50229381820800 is a wasteful number, since it uses less digits than its factorization.

50229381820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317891 (or 317874 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 50229381820800 in words is "fifty trillion, two hundred twenty-nine billion, three hundred eighty-one million, eight hundred twenty thousand, eight hundred".