65538305280 has 864 divisors, whose sum is σ = 277702483968. Its totient is φ = 14482022400.

The previous prime is 65538305233. The next prime is 65538305297. The reversal of 65538305280 is 8250383556.

65538305280 is a `hidden beast` number, since 6 + 5 + 538 + 30 + 5 + 2 + 80 = 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 (45).

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, 67495195 + ... + 67496165.

It is an arithmetic number, because the mean of its divisors is an integer number (321414912).

Almost surely, 2^65538305280 is an apocalyptic number.

65538305280 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 65538305280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138851241984).

65538305280 is an abundant number, since it is smaller than the sum of its proper divisors (212164178688).

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

65538305280 is an equidigital number, since it uses as much as digits as its factorization.

65538305280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 65538305280 in words is "sixty-five billion, five hundred thirty-eight million, three hundred five thousand, two hundred eighty".