65052007416000 has 1792 divisors, whose sum is σ = 276357429504000. Its totient is φ = 14938919424000.

The previous prime is 65052007415957. The next prime is 65052007416107. The reversal of 65052007416000 is 61470025056.

It is a happy number.

65052007416000 is a `hidden beast` number, since 6 + 5 + 0 + 5 + 2 + 0 + 0 + 7 + 41 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 255 ways as a sum of consecutive naturals, for example, 5462418046 + ... + 5462429954.

Almost surely, 2^{65052007416000} is an apocalyptic number.

65052007416000 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 65052007416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138178714752000).

65052007416000 is an abundant number, since it is smaller than the sum of its proper divisors (211305422088000).

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

65052007416000 is a wasteful number, since it uses less digits than its factorization.

65052007416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11997 (or 11949 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 65052007416000 in words is "sixty-five trillion, fifty-two billion, seven million, four hundred sixteen thousand".