50953033440 has 288 divisors, whose sum is σ = 187293689856. Its totient is φ = 12577213440.

The previous prime is 50953033429. The next prime is 50953033441. The reversal of 50953033440 is 4433035905.

It is a happy number.

50953033440 is a `hidden beast` number, since 5 + 0 + 9 + 5 + 303 + 344 + 0 = 666.

50953033440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 50953033395 and 50953033404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50953033441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1001907 + ... + 1051533.

It is an arithmetic number, because the mean of its divisors is an integer number (650325312).

Almost surely, 2^50953033440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50953033440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93646844928).

50953033440 is an abundant number, since it is smaller than the sum of its proper divisors (136340656416).

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

50953033440 is a wasteful number, since it uses less digits than its factorization.

50953033440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49702 (or 49691 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 50953033440 in words is "fifty billion, nine hundred fifty-three million, thirty-three thousand, four hundred forty".