10214680511 has 16 divisors (see below), whose sum is σ = 11743488000. Its totient is φ = 8703397248.

The previous prime is 10214680493. The next prime is 10214680529. The reversal of 10214680511 is 11508641201.

It is an interprime number because it is at equal distance from previous prime (10214680493) and next prime (10214680529).

It is not a de Polignac number, because 10214680511 - 2⁶ = 10214680447 is a prime.

It is a super-2 number, since 2×10214680511² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10214680111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 997031 + ... + 1007223.

It is an arithmetic number, because the mean of its divisors is an integer number (733968000).

Almost surely, 2^10214680511 is an apocalyptic number.

10214680511 is a deficient number, since it is larger than the sum of its proper divisors (1528807489).

10214680511 is a wasteful number, since it uses less digits than its factorization.

10214680511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11038.

The product of its (nonzero) digits is 1920, while the sum is 29.

The spelling of 10214680511 in words is "ten billion, two hundred fourteen million, six hundred eighty thousand, five hundred eleven".