65781285120 has 216 divisors, whose sum is σ = 240985134936. Its totient is φ = 16509763584.

The previous prime is 65781284993. The next prime is 65781285121. The reversal of 65781285120 is 2158218756.

65781285120 is a `hidden beast` number, since 6 + 5 + 7 + 8 + 128 + 512 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13841051904 + 51940233216 = 117648^2 + 227904^2 .

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 (65781285121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27894 + ... + 363786.

It is an arithmetic number, because the mean of its divisors is an integer number (1115671921).

Almost surely, 2^65781285120 is an apocalyptic number.

65781285120 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 65781285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120492567468).

65781285120 is an abundant number, since it is smaller than the sum of its proper divisors (175203849816).

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

65781285120 is a wasteful number, since it uses less digits than its factorization.

65781285120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335937 (or 335920 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 65781285120 in words is "sixty-five billion, seven hundred eighty-one million, two hundred eighty-five thousand, one hundred twenty".