65281572864 has 360 divisors, whose sum is σ = 206101808640. Its totient is φ = 20591345664.

The previous prime is 65281572809. The next prime is 65281572869. The reversal of 65281572864 is 46827518256.

65281572864 is a `hidden beast` number, since 6 + 5 + 2 + 8 + 1 + 572 + 8 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 65281572864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65281572869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75644497 + ... + 75645359.

It is an arithmetic number, because the mean of its divisors is an integer number (572505024).

Almost surely, 2^65281572864 is an apocalyptic number.

65281572864 is a gapful number since it is divisible by the number (64) 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 65281572864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103050904320).

65281572864 is an abundant number, since it is smaller than the sum of its proper divisors (140820235776).

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

65281572864 is an frugal number, since it uses more digits than its factorization.

65281572864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 887 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 65281572864 in words is "sixty-five billion, two hundred eighty-one million, five hundred seventy-two thousand, eight hundred sixty-four".