65010617667072 has 1200 divisors, whose sum is σ = 260725659887088. Its totient is φ = 15892495073280.

The previous prime is 65010617667031. The next prime is 65010617667103. The reversal of 65010617667072 is 27076671601056.

65010617667072 is a `hidden beast` number, since 6 + 5 + 0 + 10 + 617 + 6 + 6 + 7 + 0 + 7 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 379922398 + ... + 380093474.

Almost surely, 2^{65010617667072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65010617667072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130362829943544).

65010617667072 is an abundant number, since it is smaller than the sum of its proper divisors (195715042220016).

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

65010617667072 is a wasteful number, since it uses less digits than its factorization.

65010617667072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171149 (or 171117 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 65010617667072 in words is "sixty-five trillion, ten billion, six hundred seventeen million, six hundred sixty-seven thousand, seventy-two".