65436613120 has 80 divisors (see below), whose sum is σ = 156975765408. Its totient is φ = 26161090560.

The previous prime is 65436613117. The next prime is 65436613127. The reversal of 65436613120 is 2131663456.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×65436613120² (a number of 22 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 65436613120.

It is not an unprimeable number, because it can be changed into a prime (65436613127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6002875 + ... + 6013765.

Almost surely, 2^65436613120 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 65436613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78487882704).

65436613120 is an abundant number, since it is smaller than the sum of its proper divisors (91539152288).

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

65436613120 is a wasteful number, since it uses less digits than its factorization.

65436613120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13261 (or 13245 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The spelling of 65436613120 in words is "sixty-five billion, four hundred thirty-six million, six hundred thirteen thousand, one hundred twenty".