65115072000 has 960 divisors, whose sum is σ = 262898887680. Its totient is φ = 15353856000.

The previous prime is 65115071993. The next prime is 65115072031. The reversal of 65115072000 is 27051156.

65115072000 is a `hidden beast` number, since 651 + 1 + 5 + 0 + 7 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 272447881 + ... + 272448119.

It is an arithmetic number, because the mean of its divisors is an integer number (273853008).

Almost surely, 2^65115072000 is an apocalyptic number.

65115072000 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 65115072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131449443840).

65115072000 is an abundant number, since it is smaller than the sum of its proper divisors (197783815680).

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

65115072000 is a wasteful number, since it uses less digits than its factorization.

65115072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The spelling of 65115072000 in words is "sixty-five billion, one hundred fifteen million, seventy-two thousand".