965537876160 has 448 divisors, whose sum is σ = 4001698229760. Its totient is φ = 216064143360.

The previous prime is 965537876141. The next prime is 965537876179. The reversal of 965537876160 is 61678735569.

965537876160 is a `hidden beast` number, since 9 + 6 + 5 + 5 + 3 + 7 + 8 + 7 + 616 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (965537876141) and next prime (965537876179).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 844779 + ... + 1626261.

It is an arithmetic number, because the mean of its divisors is an integer number (8932362120).

Almost surely, 2^965537876160 is an apocalyptic number.

965537876160 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 965537876160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2000849114880).

965537876160 is an abundant number, since it is smaller than the sum of its proper divisors (3036160353600).

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

965537876160 is a wasteful number, since it uses less digits than its factorization.

965537876160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781533 (or 781517 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 965537876160 in words is "nine hundred sixty-five billion, five hundred thirty-seven million, eight hundred seventy-six thousand, one hundred sixty".