65583920160 has 384 divisors, whose sum is σ = 254161152000. Its totient is φ = 15661071360.

The previous prime is 65583920159. The next prime is 65583920161. The reversal of 65583920160 is 6102938556.

65583920160 is a `hidden beast` number, since 6 + 5 + 583 + 9 + 2 + 0 + 1 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (65583920159) and next prime (65583920161).

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

It is not an unprimeable number, because it can be changed into a prime (65583920161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3173541 + ... + 3194139.

It is an arithmetic number, because the mean of its divisors is an integer number (661878000).

Almost surely, 2^65583920160 is an apocalyptic number.

65583920160 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 65583920160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127080576000).

65583920160 is an abundant number, since it is smaller than the sum of its proper divisors (188577231840).

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

65583920160 is a wasteful number, since it uses less digits than its factorization.

65583920160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20701 (or 20687 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 65583920160 in words is "sixty-five billion, five hundred eighty-three million, nine hundred twenty thousand, one hundred sixty".