65252399640960 has 1024 divisors, whose sum is σ = 248619663360000. Its totient is φ = 14242236825600.

The previous prime is 65252399640899. The next prime is 65252399641019. The reversal of 65252399640960 is 6904699325256.

It is a junction number, because it is equal to n+sod(n) for n = 65252399640891 and 65252399640900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14066046321 + ... + 14066050959.

It is an arithmetic number, because the mean of its divisors is an integer number (242792640000).

Almost surely, 2^{65252399640960} is an apocalyptic number.

65252399640960 is a gapful number since it is divisible by the number (60) 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 65252399640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124309831680000).

65252399640960 is an abundant number, since it is smaller than the sum of its proper divisors (183367263719040).

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

65252399640960 is a wasteful number, since it uses less digits than its factorization.

65252399640960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5087 (or 5075 counting only the distinct ones).

The product of its (nonzero) digits is 188956800, while the sum is 66.

The spelling of 65252399640960 in words is "sixty-five trillion, two hundred fifty-two billion, three hundred ninety-nine million, six hundred forty thousand, nine hundred sixty".