965188380000 has 480 divisors, whose sum is σ = 3492825712992. Its totient is φ = 231782400000.

The previous prime is 965188379993. The next prime is 965188380043. The reversal of 965188380000 is 83881569.

965188380000 is digitally balanced in base 2, because in such base 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 (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31964910 + ... + 31995090.

Almost surely, 2^965188380000 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 965188380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746412856496).

965188380000 is an abundant number, since it is smaller than the sum of its proper divisors (2527637332992).

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

965188380000 is a wasteful number, since it uses less digits than its factorization.

965188380000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30268 (or 30245 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 965188380000 in words is "nine hundred sixty-five billion, one hundred eighty-eight million, three hundred eighty thousand".