959036645952 has 1008 divisors, whose sum is σ = 3642618470400. Its totient is φ = 247382553600.

The previous prime is 959036645929. The next prime is 959036645981. The reversal of 959036645952 is 259546630959.

959036645952 is a `hidden beast` number, since 9 + 5 + 9 + 0 + 36 + 6 + 4 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a self number, because there is not a number n which added to its sum of digits gives 959036645952.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1601062549 + ... + 1601063147.

It is an arithmetic number, because the mean of its divisors is an integer number (3613708800).

Almost surely, 2^959036645952 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 959036645952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821309235200).

959036645952 is an abundant number, since it is smaller than the sum of its proper divisors (2683581824448).

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

959036645952 is a wasteful number, since it uses less digits than its factorization.

959036645952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 78732000, while the sum is 63.

The spelling of 959036645952 in words is "nine hundred fifty-nine billion, thirty-six million, six hundred forty-five thousand, nine hundred fifty-two".