50892212044800 has 2112 divisors, whose sum is σ = 222688299735040. Its totient is φ = 11146558832640.

The previous prime is 50892212044747. The next prime is 50892212044801. The reversal of 50892212044800 is 844021229805.

50892212044800 is a `hidden beast` number, since 5 + 0 + 89 + 2 + 2 + 120 + 448 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (50892212044801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11994391479 + ... + 11994395721.

Almost surely, 2^{50892212044800} is an apocalyptic number.

50892212044800 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 50892212044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111344149867520).

50892212044800 is an abundant number, since it is smaller than the sum of its proper divisors (171796087690240).

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

50892212044800 is a wasteful number, since it uses less digits than its factorization.

50892212044800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4393 (or 4364 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 50892212044800 in words is "fifty trillion, eight hundred ninety-two billion, two hundred twelve million, forty-four thousand, eight hundred".