65172522240 has 864 divisors, whose sum is σ = 274809749760. Its totient is φ = 14476050432.

The previous prime is 65172522211. The next prime is 65172522257. The reversal of 65172522240 is 4222527156.

65172522240 is a `hidden beast` number, since 65 + 1 + 72 + 522 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 65172522195 and 65172522204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80558956 + ... + 80559764.

It is an arithmetic number, because the mean of its divisors is an integer number (318066840).

Almost surely, 2^65172522240 is an apocalyptic number.

65172522240 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 65172522240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137404874880).

65172522240 is an abundant number, since it is smaller than the sum of its proper divisors (209637227520).

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

65172522240 is an equidigital number, since it uses as much as digits as its factorization.

65172522240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 65172522240 in words is "sixty-five billion, one hundred seventy-two million, five hundred twenty-two thousand, two hundred forty".