65350126080 has 840 divisors, whose sum is σ = 250494443892. Its totient is φ = 16339304448.

The previous prime is 65350126027. The next prime is 65350126117. The reversal of 65350126080 is 8062105356.

65350126080 is a `hidden beast` number, since 6 + 5 + 35 + 0 + 12 + 608 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 64743784704 + 606341376 = 254448^2 + 24624^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 673712592 + ... + 673712688.

Almost surely, 2^65350126080 is an apocalyptic number.

65350126080 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 65350126080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125247221946).

65350126080 is an abundant number, since it is smaller than the sum of its proper divisors (185144317812).

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

65350126080 is an frugal number, since it uses more digits than its factorization.

65350126080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 65350126080 in words is "sixty-five billion, three hundred fifty million, one hundred twenty-six thousand, eighty".