20214220511268 has 36 divisors (see below), whose sum is σ = 58396637033280. Its totient is φ = 5775491574576.

The previous prime is 20214220511267. The next prime is 20214220511269. The reversal of 20214220511268 is 86211502241202.

20214220511268 is a `hidden beast` number, since 2 + 0 + 21 + 42 + 20 + 511 + 2 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (20214220511267) and next prime (20214220511269).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×20214220511268² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (20214220511267) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40107580128 + ... + 40107580631.

It is an arithmetic number, because the mean of its divisors is an integer number (1622128806480).

Almost surely, 2^{20214220511268} is an apocalyptic number.

20214220511268 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

20214220511268 is an abundant number, since it is smaller than the sum of its proper divisors (38182416522012).

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

20214220511268 is a wasteful number, since it uses less digits than its factorization.

20214220511268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80215160776 (or 80215160771 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 20214220511268 in words is "twenty trillion, two hundred fourteen billion, two hundred twenty million, five hundred eleven thousand, two hundred sixty-eight".