10214566506420 has 48 divisors (see below), whose sum is σ = 28612619800128. Its totient is φ = 2722757393920.

The previous prime is 10214566506407. The next prime is 10214566506421. The reversal of 10214566506420 is 2460566541201.

It is a super-3 number, since 3×10214566506420³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10214566506421) 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 15 ways as a sum of consecutive naturals, for example, 35072766 + ... + 35362805.

It is an arithmetic number, because the mean of its divisors is an integer number (596096245836).

Almost surely, 2^{10214566506420} is an apocalyptic number.

10214566506420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10214566506420 is an abundant number, since it is smaller than the sum of its proper divisors (18398053293708).

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

10214566506420 is a wasteful number, since it uses less digits than its factorization.

10214566506420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70438000 (or 70437998 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 10214566506420 in words is "ten trillion, two hundred fourteen billion, five hundred sixty-six million, five hundred six thousand, four hundred twenty".