959961536352 has 480 divisors, whose sum is σ = 3482955286272. Its totient is φ = 252577668096.

The previous prime is 959961536341. The next prime is 959961536381. The reversal of 959961536352 is 253635169959.

959961536352 is a `hidden beast` number, since 9 + 5 + 9 + 9 + 61 + 536 + 35 + 2 = 666.

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 959961536352.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 104486703 + ... + 104495889.

Almost surely, 2^959961536352 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 959961536352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741477643136).

959961536352 is an abundant number, since it is smaller than the sum of its proper divisors (2522993749920).

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

959961536352 is a wasteful number, since it uses less digits than its factorization.

959961536352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9672 (or 9655 counting only the distinct ones).

The product of its digits is 59049000, while the sum is 63.

The spelling of 959961536352 in words is "nine hundred fifty-nine billion, nine hundred sixty-one million, five hundred thirty-six thousand, three hundred fifty-two".