50890956328800 has 2304 divisors, whose sum is σ = 226733648117760. Its totient is φ = 10752086016000.

The previous prime is 50890956328781. The next prime is 50890956328801. The reversal of 50890956328800 is 882365909805.

50890956328800 is a `hidden beast` number, since 508 + 9 + 0 + 95 + 6 + 32 + 8 + 8 + 0 + 0 = 666.

It is a super-4 number, since 4×50890956328800⁴ (a number of 56 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50890956328801) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 78656810077 + ... + 78656810723.

It is an arithmetic number, because the mean of its divisors is an integer number (98408701440).

Almost surely, 2^{50890956328800} is an apocalyptic number.

50890956328800 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 50890956328800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113366824058880).

50890956328800 is an abundant number, since it is smaller than the sum of its proper divisors (175842691788960).

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

50890956328800 is a wasteful number, since it uses less digits than its factorization.

50890956328800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 50890956328800 in words is "fifty trillion, eight hundred ninety billion, nine hundred fifty-six million, three hundred twenty-eight thousand, eight hundred".