65097877879056 has 120 divisors (see below), whose sum is σ = 184970825172000. Its totient is φ = 19713467164160.

The previous prime is 65097877879049. The next prime is 65097877879079.

It is a happy number.

65097877879056 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×65097877879056² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 65097877879056.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4967596 + ... + 12444788.

It is an arithmetic number, because the mean of its divisors is an integer number (1541423543100).

Almost surely, 2^{65097877879056} is an apocalyptic number.

65097877879056 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 65097877879056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92485412586000).

65097877879056 is an abundant number, since it is smaller than the sum of its proper divisors (119872947292944).

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

65097877879056 is a wasteful number, since it uses less digits than its factorization.

65097877879056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7478725 (or 7478708 counting only the distinct ones).

The product of its (nonzero) digits is 11202105600, while the sum is 84.

The spelling of 65097877879056 in words is "sixty-five trillion, ninety-seven billion, eight hundred seventy-seven million, eight hundred seventy-nine thousand, fifty-six".