21714812728512 has 672 divisors, whose sum is σ = 66658006302720. Its totient is φ = 6211720120320.

The previous prime is 21714812728501. The next prime is 21714812728523. The reversal of 21714812728512 is 21582721841712.

It is an interprime number because it is at equal distance from previous prime (21714812728501) and next prime (21714812728523).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2811703083 + ... + 2811710805.

It is an arithmetic number, because the mean of its divisors is an integer number (99193461760).

Almost surely, 2^{21714812728512} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21714812728512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33329003151360).

21714812728512 is an abundant number, since it is smaller than the sum of its proper divisors (44943193574208).

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

21714812728512 is a wasteful number, since it uses less digits than its factorization.

21714812728512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7881 (or 7848 counting only the distinct ones).

The product of its digits is 1003520, while the sum is 51.

The spelling of 21714812728512 in words is "twenty-one trillion, seven hundred fourteen billion, eight hundred twelve million, seven hundred twenty-eight thousand, five hundred twelve".