445130005950 has 576 divisors, whose sum is σ = 1536501657600. Its totient is φ = 90052300800.

The previous prime is 445130005939. The next prime is 445130005967. The reversal of 445130005950 is 59500031544.

445130005950 is a `hidden beast` number, since 44 + 513 + 0 + 0 + 0 + 59 + 50 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 53801014 + ... + 53809286.

It is an arithmetic number, because the mean of its divisors is an integer number (2667537600).

Almost surely, 2^445130005950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445130005950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768250828800).

445130005950 is an abundant number, since it is smaller than the sum of its proper divisors (1091371651650).

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

445130005950 is a wasteful number, since it uses less digits than its factorization.

445130005950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8377 (or 8369 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 445130005950 in words is "four hundred forty-five billion, one hundred thirty million, five thousand, nine hundred fifty".