65611655611656 has 128 divisors (see below), whose sum is σ = 204571216604160. Its totient is φ = 17036375558400.

The previous prime is 65611655611639. The next prime is 65611655611673.

It is a happy number.

65611655611656 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (65611655611639) and next prime (65611655611673).

It is a self number, because there is not a number n which added to its sum of digits gives 65611655611656.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232890 + ... + 11457641.

It is an arithmetic number, because the mean of its divisors is an integer number (1598212629720).

Almost surely, 2^{65611655611656} is an apocalyptic number.

65611655611656 is a gapful number since it is divisible by the number (66) 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 65611655611656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102285608302080).

65611655611656 is an abundant number, since it is smaller than the sum of its proper divisors (138959560992504).

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

65611655611656 is a wasteful number, since it uses less digits than its factorization.

65611655611656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11693595 (or 11693591 counting only the distinct ones).

The product of its digits is 29160000, while the sum is 60.

The spelling of 65611655611656 in words is "sixty-five trillion, six hundred eleven billion, six hundred fifty-five million, six hundred eleven thousand, six hundred fifty-six".