65006551621200 has 1440 divisors, whose sum is σ = 254778782400000. Its totient is φ = 14110353653760.

The previous prime is 65006551621169. The next prime is 65006551621243. The reversal of 65006551621200 is 212615560056.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 52046878176 + ... + 52046879424.

It is an arithmetic number, because the mean of its divisors is an integer number (176929710000).

Almost surely, 2^{65006551621200} is an apocalyptic number.

65006551621200 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 65006551621200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127389391200000).

65006551621200 is an abundant number, since it is smaller than the sum of its proper divisors (189772230778800).

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

65006551621200 is a wasteful number, since it uses less digits than its factorization.

65006551621200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1877 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The spelling of 65006551621200 in words is "sixty-five trillion, six billion, five hundred fifty-one million, six hundred twenty-one thousand, two hundred".