10435827130416 has 30 divisors (see below), whose sum is σ = 29205821761220. Its totient is φ = 3478609043424.

The previous prime is 10435827130373. The next prime is 10435827130433. The reversal of 10435827130416 is 61403172853401.

10435827130416 is a `hidden beast` number, since 1 + 0 + 43 + 582 + 7 + 13 + 0 + 4 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36235510726 + ... + 36235511013.

Almost surely, 2^{10435827130416} is an apocalyptic number.

10435827130416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10435827130416 is an abundant number, since it is smaller than the sum of its proper divisors (18769994630804).

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

10435827130416 is a wasteful number, since it uses less digits than its factorization.

10435827130416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72471021753 (or 72471021744 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

Adding to 10435827130416 its reverse (61403172853401), we get a palindrome (71838999983817).

The spelling of 10435827130416 in words is "ten trillion, four hundred thirty-five billion, eight hundred twenty-seven million, one hundred thirty thousand, four hundred sixteen".