65398021920 has 1152 divisors, whose sum is σ = 293246231040. Its totient is φ = 13320806400.

The previous prime is 65398021919. The next prime is 65398021921. The reversal of 65398021920 is 2912089356.

65398021920 is a `hidden beast` number, since 6 + 539 + 8 + 0 + 21 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (65398021919) and next prime (65398021921).

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 (65398021921) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 223201294 + ... + 223201586.

It is an arithmetic number, because the mean of its divisors is an integer number (254554020).

Almost surely, 2^65398021920 is an apocalyptic number.

65398021920 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 65398021920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146623115520).

65398021920 is an abundant number, since it is smaller than the sum of its proper divisors (227848209120).

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

65398021920 is a wasteful number, since it uses less digits than its factorization.

65398021920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 65398021920 in words is "sixty-five billion, three hundred ninety-eight million, twenty-one thousand, nine hundred twenty".