10240510640661 has 48 divisors (see below), whose sum is σ = 16970975049600. Its totient is φ = 5828887751040.

The previous prime is 10240510640653. The next prime is 10240510640669. The reversal of 10240510640661 is 16604601504201.

10240510640661 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 0 + 5 + 1 + 0 + 640 + 6 + 6 + 1 = 666.

10240510640661 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10240510640653) and next prime (10240510640669).

It is not a de Polignac number, because 10240510640661 - 2³ = 10240510640653 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 (10240510640669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48764515 + ... + 48974063.

It is an arithmetic number, because the mean of its divisors is an integer number (353561980200).

Almost surely, 2^{10240510640661} is an apocalyptic number.

It is an amenable number.

10240510640661 is a deficient number, since it is larger than the sum of its proper divisors (6730464408939).

10240510640661 is a wasteful number, since it uses less digits than its factorization.

10240510640661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212586 (or 212583 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10240510640661 in words is "ten trillion, two hundred forty billion, five hundred ten million, six hundred forty thousand, six hundred sixty-one".