65113617888000 has 864 divisors, whose sum is σ = 256185286156800. Its totient is φ = 15748826112000.

The previous prime is 65113617887993. The next prime is 65113617888001. The reversal of 65113617888000 is 88871631156.

65113617888000 is a `hidden beast` number, since 6 + 5 + 1 + 13 + 617 + 8 + 8 + 8 + 0 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (65113617888001) 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, 1390728591 + ... + 1390775409.

Almost surely, 2^{65113617888000} is an apocalyptic number.

65113617888000 is a gapful number since it is divisible by the number (60) 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 65113617888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128092643078400).

65113617888000 is an abundant number, since it is smaller than the sum of its proper divisors (191071668268800).

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

65113617888000 is a wasteful number, since it uses less digits than its factorization.

65113617888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47306 (or 47279 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 65113617888000 in words is "sixty-five trillion, one hundred thirteen billion, six hundred seventeen million, eight hundred eighty-eight thousand".