21428592768 has 960 divisors, whose sum is σ = 78791328000. Its totient is φ = 5748019200.

The previous prime is 21428592751. The next prime is 21428592793. The reversal of 21428592768 is 86729582412.

21428592768 is a `hidden beast` number, since 2 + 1 + 42 + 8 + 592 + 7 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 691244913 + ... + 691244943.

It is an arithmetic number, because the mean of its divisors is an integer number (82074300).

Almost surely, 2^21428592768 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 21428592768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39395664000).

21428592768 is an abundant number, since it is smaller than the sum of its proper divisors (57362735232).

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

21428592768 is a wasteful number, since it uses less digits than its factorization.

21428592768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 95 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 21428592768 in words is "twenty-one billion, four hundred twenty-eight million, five hundred ninety-two thousand, seven hundred sixty-eight".