10065122640 has 160 divisors (see below), whose sum is σ = 34705992960. Its totient is φ = 2681150976.

The previous prime is 10065122623. The next prime is 10065122653. The reversal of 10065122640 is 4622156001.

10065122640 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 5 + 12 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2670037 + ... + 2673803.

It is an arithmetic number, because the mean of its divisors is an integer number (216912456).

Almost surely, 2^10065122640 is an apocalyptic number.

10065122640 is a gapful number since it is divisible by the number (10) 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 10065122640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17352996480).

10065122640 is an abundant number, since it is smaller than the sum of its proper divisors (24640870320).

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

10065122640 is a wasteful number, since it uses less digits than its factorization.

10065122640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5026 (or 5014 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 10065122640 its reverse (4622156001), we get a palindrome (14687278641).

The spelling of 10065122640 in words is "ten billion, sixty-five million, one hundred twenty-two thousand, six hundred forty".