65150768448000 has 1280 divisors, whose sum is σ = 257185892620800. Its totient is φ = 16200754790400.

The previous prime is 65150768447993. The next prime is 65150768448011. The reversal of 65150768448000 is 84486705156.

65150768448000 is a `hidden beast` number, since 6 + 5 + 15 + 0 + 76 + 84 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3201973827 + ... + 3201994173.

It is an arithmetic number, because the mean of its divisors is an integer number (200926478610).

Almost surely, 2^{65150768448000} is an apocalyptic number.

65150768448000 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 65150768448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128592946310400).

65150768448000 is an abundant number, since it is smaller than the sum of its proper divisors (192035124172800).

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

65150768448000 is a wasteful number, since it uses less digits than its factorization.

65150768448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20515 (or 20483 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 65150768448000 in words is "sixty-five trillion, one hundred fifty billion, seven hundred sixty-eight million, four hundred forty-eight thousand".