50953825440 has 384 divisors, whose sum is σ = 207277056000. Its totient is φ = 11448787968.

The previous prime is 50953825387. The next prime is 50953825451. The reversal of 50953825440 is 4452835905.

50953825440 is a `hidden beast` number, since 50 + 9 + 53 + 8 + 2 + 544 + 0 = 666.

50953825440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1769881 + ... + 1798439.

It is an arithmetic number, because the mean of its divisors is an integer number (539784000).

Almost surely, 2^50953825440 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 50953825440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103638528000).

50953825440 is an abundant number, since it is smaller than the sum of its proper divisors (156323230560).

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

50953825440 is a wasteful number, since it uses less digits than its factorization.

50953825440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28649 (or 28635 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 50953825440 in words is "fifty billion, nine hundred fifty-three million, eight hundred twenty-five thousand, four hundred forty".