65381066088 has 384 divisors, whose sum is σ = 196024872960. Its totient is φ = 17998848000.

The previous prime is 65381066077. The next prime is 65381066089. The reversal of 65381066088 is 88066018356.

65381066088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 65381066088.

It is not an unprimeable number, because it can be changed into a prime (65381066089) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 514811481 + ... + 514811607.

It is an arithmetic number, because the mean of its divisors is an integer number (510481440).

Almost surely, 2^65381066088 is an apocalyptic number.

65381066088 is a gapful number since it is divisible by the number (68) 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 65381066088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98012436480).

65381066088 is an abundant number, since it is smaller than the sum of its proper divisors (130643806872).

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

65381066088 is a wasteful number, since it uses less digits than its factorization.

65381066088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 65381066088 in words is "sixty-five billion, three hundred eighty-one million, sixty-six thousand, eighty-eight".