10000775430261 has 96 divisors (see below), whose sum is σ = 18694779457536. Its totient is φ = 5001315408000.

The previous prime is 10000775430253. The next prime is 10000775430263. The reversal of 10000775430261 is 16203457700001.

It is a happy number.

10000775430261 is a `hidden beast` number, since 100 + 0 + 0 + 7 + 7 + 543 + 0 + 2 + 6 + 1 = 666.

It is not a de Polignac number, because 10000775430261 - 2³ = 10000775430253 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000775430263) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 529935 + ... + 4503596.

It is an arithmetic number, because the mean of its divisors is an integer number (194737286016).

Almost surely, 2^{10000775430261} is an apocalyptic number.

10000775430261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10000775430261 is a deficient number, since it is larger than the sum of its proper divisors (8694004027275).

10000775430261 is a wasteful number, since it uses less digits than its factorization.

10000775430261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5033663 (or 5033660 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 10000775430261 in words is "ten trillion, seven hundred seventy-five million, four hundred thirty thousand, two hundred sixty-one".