50089872268800 has 4320 divisors, whose sum is σ = 237648682323360. Its totient is φ = 10369008599040.

The previous prime is 50089872268783. The next prime is 50089872268837. The reversal of 50089872268800 is 886227898005.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 945091929574 + ... + 945091929626.

Almost surely, 2^{50089872268800} is an apocalyptic number.

50089872268800 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 50089872268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118824341161680).

50089872268800 is an abundant number, since it is smaller than the sum of its proper divisors (187558810054560).

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

50089872268800 is an frugal number, since it uses more digits than its factorization.

50089872268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 50089872268800 in words is "fifty trillion, eighty-nine billion, eight hundred seventy-two million, two hundred sixty-eight thousand, eight hundred".