65491819481088 has 2304 divisors, whose sum is σ = 268848163584000. Its totient is φ = 15696481812480.

The previous prime is 65491819481059. The next prime is 65491819481089. The reversal of 65491819481088 is 88018491819456.

65491819481088 is a `hidden beast` number, since 6 + 5 + 49 + 18 + 19 + 481 + 0 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (65491819481089) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24409920195 + ... + 24409922877.

It is an arithmetic number, because the mean of its divisors is an integer number (116687571000).

Almost surely, 2^{65491819481088} 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 65491819481088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134424081792000).

65491819481088 is an abundant number, since it is smaller than the sum of its proper divisors (203356344102912).

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

65491819481088 is a wasteful number, since it uses less digits than its factorization.

65491819481088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2765 (or 2719 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 72.

The spelling of 65491819481088 in words is "sixty-five trillion, four hundred ninety-one billion, eight hundred nineteen million, four hundred eighty-one thousand, eighty-eight".