5965151861664 has 336 divisors, whose sum is σ = 18536124462912. Its totient is φ = 1885082056704.

The previous prime is 5965151861653. The next prime is 5965151861729. The reversal of 5965151861664 is 4661681515695.

It is a happy number.

5965151861664 is a `hidden beast` number, since 5 + 9 + 6 + 5 + 1 + 5 + 1 + 8 + 616 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 60580279 + ... + 60678665.

It is an arithmetic number, because the mean of its divisors is an integer number (55167037092).

Almost surely, 2^{5965151861664} is an apocalyptic number.

5965151861664 is a gapful number since it is divisible by the number (54) 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 5965151861664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9268062231456).

5965151861664 is an abundant number, since it is smaller than the sum of its proper divisors (12570972601248).

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

5965151861664 is a wasteful number, since it uses less digits than its factorization.

5965151861664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98551 (or 98528 counting only the distinct ones).

The product of its digits is 46656000, while the sum is 63.

The spelling of 5965151861664 in words is "five trillion, nine hundred sixty-five billion, one hundred fifty-one million, eight hundred sixty-one thousand, six hundred sixty-four".