21428765760024 has 640 divisors, whose sum is σ = 72803187072000. Its totient is φ = 5760690969600.

The previous prime is 21428765760019. The next prime is 21428765760043. The reversal of 21428765760024 is 42006756782412.

21428765760024 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 8 + 7 + 6 + 5 + 7 + 600 + 24 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 728879677 + ... + 728909075.

It is an arithmetic number, because the mean of its divisors is an integer number (113754979800).

Almost surely, 2^{21428765760024} is an apocalyptic number.

21428765760024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21428765760024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36401593536000).

21428765760024 is an abundant number, since it is smaller than the sum of its proper divisors (51374421311976).

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

21428765760024 is a wasteful number, since it uses less digits than its factorization.

21428765760024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29605 (or 29592 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 21428765760024 in words is "twenty-one trillion, four hundred twenty-eight billion, seven hundred sixty-five million, seven hundred sixty thousand, twenty-four".