960753422160 has 600 divisors, whose sum is σ = 3986644421760. Its totient is φ = 210047675904.

The previous prime is 960753422149. The next prime is 960753422197. The reversal of 960753422160 is 61224357069.

960753422160 is a `hidden beast` number, since 9 + 60 + 7 + 5 + 3 + 422 + 160 = 666.

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 119 ways as a sum of consecutive naturals, for example, 23975421 + ... + 24015459.

Almost surely, 2^960753422160 is an apocalyptic number.

960753422160 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 960753422160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1993322210880).

960753422160 is an abundant number, since it is smaller than the sum of its proper divisors (3025890999600).

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

960753422160 is a wasteful number, since it uses less digits than its factorization.

960753422160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40117 (or 40079 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 960753422160 in words is "nine hundred sixty billion, seven hundred fifty-three million, four hundred twenty-two thousand, one hundred sixty".