959248604160 has 4224 divisors, whose sum is σ = 4944179036160. Its totient is φ = 171992678400.

The previous prime is 959248604159. The next prime is 959248604161. The reversal of 959248604160 is 61406842959.

959248604160 is a `hidden beast` number, since 9 + 5 + 9 + 24 + 8 + 604 + 1 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (959248604159) and next prime (959248604161).

It is a tau number, because it is divible by the number of its divisors (4224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 959248604097 and 959248604106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (959248604161) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 30943503345 + ... + 30943503375.

Almost surely, 2^959248604160 is an apocalyptic number.

959248604160 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 959248604160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2472089518080).

959248604160 is an abundant number, since it is smaller than the sum of its proper divisors (3984930432000).

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

959248604160 is a wasteful number, since it uses less digits than its factorization.

959248604160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 959248604160 in words is "nine hundred fifty-nine billion, two hundred forty-eight million, six hundred four thousand, one hundred sixty".