65010622189968 has 360 divisors, whose sum is σ = 228431916531000. Its totient is φ = 17107461439488.

The previous prime is 65010622189967. The next prime is 65010622189991. The reversal of 65010622189968 is 86998122601056.

65010622189968 is a `hidden beast` number, since 6 + 501 + 0 + 6 + 22 + 18 + 9 + 96 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 944877314304 + 64065744875664 = 972048^2 + 8004108^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (65010622189963) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40396638 + ... + 41975106.

It is an arithmetic number, because the mean of its divisors is an integer number (634533101475).

Almost surely, 2^{65010622189968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65010622189968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114215958265500).

65010622189968 is an abundant number, since it is smaller than the sum of its proper divisors (163421294341032).

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

65010622189968 is a wasteful number, since it uses less digits than its factorization.

65010622189968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578959 (or 1578943 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 65010622189968 in words is "sixty-five trillion, ten billion, six hundred twenty-two million, one hundred eighty-nine thousand, nine hundred sixty-eight".