950133727872 has 768 divisors, whose sum is σ = 3263014010880. Its totient is φ = 259810467840.

The previous prime is 950133727867. The next prime is 950133727889. The reversal of 950133727872 is 278727331059.

950133727872 is a `hidden beast` number, since 9 + 501 + 3 + 37 + 27 + 87 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4185611023 + ... + 4185611249.

It is an arithmetic number, because the mean of its divisors is an integer number (4248716160).

Almost surely, 2^950133727872 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 950133727872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631507005440).

950133727872 is an abundant number, since it is smaller than the sum of its proper divisors (2312880283008).

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

950133727872 is a wasteful number, since it uses less digits than its factorization.

950133727872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 950133727872 in words is "nine hundred fifty billion, one hundred thirty-three million, seven hundred twenty-seven thousand, eight hundred seventy-two".