65532723217920 has 2560 divisors, whose sum is σ = 290885810688000. Its totient is φ = 13644752486400.

The previous prime is 65532723217919. The next prime is 65532723217981. The reversal of 65532723217920 is 2971232723556.

65532723217920 is a `hidden beast` number, since 6 + 5 + 532 + 7 + 2 + 3 + 2 + 17 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a super-2 number, since 2×65532723217920² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 106904931534 + ... + 106904932146.

It is an arithmetic number, because the mean of its divisors is an integer number (113627269800).

Almost surely, 2^{65532723217920} is an apocalyptic number.

65532723217920 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 65532723217920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145442905344000).

65532723217920 is an abundant number, since it is smaller than the sum of its proper divisors (225353087470080).

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

65532723217920 is a wasteful number, since it uses less digits than its factorization.

65532723217920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 65532723217920 in words is "sixty-five trillion, five hundred thirty-two billion, seven hundred twenty-three million, two hundred seventeen thousand, nine hundred twenty".