10212617664 has 42 divisors (see below), whose sum is σ = 29272626240. Its totient is φ = 3404205696.

The previous prime is 10212617663. The next prime is 10212617671. The reversal of 10212617664 is 46671621201.

10212617664 is a `hidden beast` number, since 10 + 21 + 2 + 617 + 6 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212617663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8864544 + ... + 8865695.

Almost surely, 2^10212617664 is an apocalyptic number.

It is an amenable number.

10212617664 is an abundant number, since it is smaller than the sum of its proper divisors (19060008576).

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

10212617664 is a wasteful number, since it uses less digits than its factorization.

10212617664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17730257 (or 17730244 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10212617664 in words is "ten billion, two hundred twelve million, six hundred seventeen thousand, six hundred sixty-four".