65048417280 has 1584 divisors, whose sum is σ = 299676476736. Its totient is φ = 13377208320.

The previous prime is 65048417267. The next prime is 65048417281. The reversal of 65048417280 is 8271484056.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65048417281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 670602192 + ... + 670602288.

Almost surely, 2^65048417280 is an apocalyptic number.

65048417280 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 65048417280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149838238368).

65048417280 is an abundant number, since it is smaller than the sum of its proper divisors (234628059456).

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

65048417280 is a wasteful number, since it uses less digits than its factorization.

65048417280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 65048417280 in words is "sixty-five billion, forty-eight million, four hundred seventeen thousand, two hundred eighty".