959046117120 has 1728 divisors, whose sum is σ = 4375814037504. Its totient is φ = 195641671680.

The previous prime is 959046117101. The next prime is 959046117163. The reversal of 959046117120 is 21711640959.

959046117120 is a `hidden beast` number, since 9 + 5 + 9 + 0 + 4 + 611 + 7 + 1 + 20 = 666.

959046117120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 877443294 + ... + 877444386.

Almost surely, 2^959046117120 is an apocalyptic number.

959046117120 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 959046117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187907018752).

959046117120 is an abundant number, since it is smaller than the sum of its proper divisors (3416767920384).

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

959046117120 is a wasteful number, since it uses less digits than its factorization.

959046117120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 959046117120 in words is "nine hundred fifty-nine billion, forty-six million, one hundred seventeen thousand, one hundred twenty".