65090067134976 has 3840 divisors, whose sum is σ = 249404637081600. Its totient is φ = 16093928226816.

The previous prime is 65090067134933. The next prime is 65090067135001. The reversal of 65090067134976 is 67943176009056.

65090067134976 is a `hidden beast` number, since 6 + 50 + 90 + 0 + 6 + 7 + 1 + 3 + 497 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 971493539295 + ... + 971493539361.

It is an arithmetic number, because the mean of its divisors is an integer number (64949124240).

Almost surely, 2^{65090067134976} 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 65090067134976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124702318540800).

65090067134976 is an abundant number, since it is smaller than the sum of its proper divisors (184314569946624).

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

65090067134976 is a wasteful number, since it uses less digits than its factorization.

65090067134976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 65090067134976 in words is "sixty-five trillion, ninety billion, sixty-seven million, one hundred thirty-four thousand, nine hundred seventy-six".