10005351126465 has 16 divisors (see below), whose sum is σ = 16009164877248. Its totient is φ = 5335986242496.

The previous prime is 10005351126451. The next prime is 10005351126473. The reversal of 10005351126465 is 56462115350001.

It is not a de Polignac number, because 10005351126465 - 2²⁴ = 10005334349249 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12152179 + ... + 12949368.

It is an arithmetic number, because the mean of its divisors is an integer number (1000572804828).

Almost surely, 2^{10005351126465} is an apocalyptic number.

10005351126465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10005351126465 is a deficient number, since it is larger than the sum of its proper divisors (6003813750783).

10005351126465 is a wasteful number, since it uses less digits than its factorization.

10005351126465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25128128.

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

Adding to 10005351126465 its reverse (56462115350001), we get a palindrome (66467466476466).

The spelling of 10005351126465 in words is "ten trillion, five billion, three hundred fifty-one million, one hundred twenty-six thousand, four hundred sixty-five".