10834926806025 has 729 divisors, whose sum is σ = 24972081704661. Its totient is φ = 4477058530560.

The previous prime is 10834926805949. The next prime is 10834926806027. The reversal of 10834926806025 is 52060862943801.

The square root of 10834926806025 is 3291645.

It is a perfect power (a square), and thus also a powerful number.

10834926806025 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 4 + 9 + 26 + 8 + 0 + 602 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 148931930889 + 10685994875136 = 385917^2 + 3268944^2 .

It is not a de Polignac number, because 10834926806025 - 2³³ = 10826336871433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10834926806027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 728 ways as a sum of consecutive naturals, for example, 230530357552 + ... + 230530357598.

Almost surely, 2^{10834926806025} is an apocalyptic number.

10834926806025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10834926806025 is the 3291645-th square number.

10834926806025 is the 1645823-rd centered octagonal number.

It is an amenable number.

10834926806025 is an abundant number, since it is smaller than the sum of its proper divisors (14137154898636).

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

10834926806025 is a wasteful number, since it uses less digits than its factorization.

10834926806025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 10834926806025 in words is "ten trillion, eight hundred thirty-four billion, nine hundred twenty-six million, eight hundred six thousand, twenty-five".