65120956992 has 1120 divisors, whose sum is σ = 252685604864. Its totient is φ = 16124313600.

The previous prime is 65120956987. The next prime is 65120956997. The reversal of 65120956992 is 29965902156.

65120956992 is a `hidden beast` number, since 6 + 51 + 20 + 9 + 569 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (65120956987) and next prime (65120956997).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (65120956997) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 892067868 + ... + 892067940.

Almost surely, 2^65120956992 is an apocalyptic number.

65120956992 is a gapful number since it is divisible by the number (62) 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 65120956992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126342802432).

65120956992 is an abundant number, since it is smaller than the sum of its proper divisors (187564647872).

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

65120956992 is a wasteful number, since it uses less digits than its factorization.

65120956992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 65120956992 in words is "sixty-five billion, one hundred twenty million, nine hundred fifty-six thousand, nine hundred ninety-two".