65661520132460 has 192 divisors, whose sum is σ = 163551240781824. Its totient is φ = 21668489625600.

The previous prime is 65661520132423. The next prime is 65661520132487. The reversal of 65661520132460 is 6423102516656.

65661520132460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×65661520132460² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6494062805 + ... + 6494072915.

It is an arithmetic number, because the mean of its divisors is an integer number (851829379072).

Almost surely, 2^{65661520132460} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65661520132460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81775620390912).

65661520132460 is an abundant number, since it is smaller than the sum of its proper divisors (97889720649364).

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

65661520132460 is a wasteful number, since it uses less digits than its factorization.

65661520132460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18104 (or 18102 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 47.

The spelling of 65661520132460 in words is "sixty-five trillion, six hundred sixty-one billion, five hundred twenty million, one hundred thirty-two thousand, four hundred sixty".