65114979525120 has 640 divisors, whose sum is σ = 243816939717120. Its totient is φ = 14513728389120.

The previous prime is 65114979525091. The next prime is 65114979525163. The reversal of 65114979525120 is 2152597941156.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×65114979525120² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5979880636 + ... + 5979891524.

It is an arithmetic number, because the mean of its divisors is an integer number (380963968308).

Almost surely, 2^{65114979525120} is an apocalyptic number.

65114979525120 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 65114979525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121908469858560).

65114979525120 is an abundant number, since it is smaller than the sum of its proper divisors (178701960192000).

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

65114979525120 is a wasteful number, since it uses less digits than its factorization.

65114979525120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13676 (or 13660 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 57.

The spelling of 65114979525120 in words is "sixty-five trillion, one hundred fourteen billion, nine hundred seventy-nine million, five hundred twenty-five thousand, one hundred twenty".