65405762172 has 96 divisors (see below), whose sum is σ = 174103695360. Its totient is φ = 21221516160.

The previous prime is 65405762171. The next prime is 65405762179. The reversal of 65405762172 is 27126750456.

65405762172 is a `hidden beast` number, since 6 + 5 + 4 + 0 + 576 + 2 + 1 + 72 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65405762171) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1944933 + ... + 1978275.

It is an arithmetic number, because the mean of its divisors is an integer number (1813580160).

Almost surely, 2^65405762172 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 65405762172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87051847680).

65405762172 is an abundant number, since it is smaller than the sum of its proper divisors (108697933188).

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

65405762172 is a wasteful number, since it uses less digits than its factorization.

65405762172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33840 (or 33832 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 65405762172 in words is "sixty-five billion, four hundred five million, seven hundred sixty-two thousand, one hundred seventy-two".