960920136960 has 432 divisors, whose sum is σ = 3581687071872. Its totient is φ = 218919321600.

The previous prime is 960920136949. The next prime is 960920136961. The reversal of 960920136960 is 69631029069.

It is a happy number.

It is a super-4 number, since 4×960920136960⁴ (a number of 49 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (960920136961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58509550 + ... + 58525970.

It is an arithmetic number, because the mean of its divisors is an integer number (8290942296).

Almost surely, 2^960920136960 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 960920136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790843535936).

960920136960 is an abundant number, since it is smaller than the sum of its proper divisors (2620766934912).

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

960920136960 is a wasteful number, since it uses less digits than its factorization.

960920136960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16770 (or 16749 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 51.

The spelling of 960920136960 in words is "nine hundred sixty billion, nine hundred twenty million, one hundred thirty-six thousand, nine hundred sixty".