65687155752960 has 3600 divisors, whose sum is σ = 298529032919040. Its totient is φ = 13765147361280.

The previous prime is 65687155752923. The next prime is 65687155753057. The reversal of 65687155752960 is 6925755178656.

65687155752960 is a `hidden beast` number, since 6 + 5 + 6 + 8 + 7 + 1 + 557 + 5 + 2 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2118940508145 + ... + 2118940508175.

Almost surely, 2^{65687155752960} is an apocalyptic number.

65687155752960 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 65687155752960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149264516459520).

65687155752960 is an abundant number, since it is smaller than the sum of its proper divisors (232841877166080).

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

65687155752960 is an frugal number, since it uses more digits than its factorization.

65687155752960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 952560000, while the sum is 72.

The spelling of 65687155752960 in words is "sixty-five trillion, six hundred eighty-seven billion, one hundred fifty-five million, seven hundred fifty-two thousand, nine hundred sixty".