21142788480 has 768 divisors, whose sum is σ = 87574556160. Its totient is φ = 4817387520.

The previous prime is 21142788419. The next prime is 21142788481. The reversal of 21142788480 is 8488724112.

21142788480 is a `hidden beast` number, since 21 + 142 + 7 + 8 + 8 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21142788481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29081877 + ... + 29082603.

It is an arithmetic number, because the mean of its divisors is an integer number (114029370).

Almost surely, 2^21142788480 is an apocalyptic number.

21142788480 is a gapful number since it is divisible by the number (20) 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 21142788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43787278080).

21142788480 is an abundant number, since it is smaller than the sum of its proper divisors (66431767680).

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

21142788480 is a wasteful number, since it uses less digits than its factorization.

21142788480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 21142788480 in words is "twenty-one billion, one hundred forty-two million, seven hundred eighty-eight thousand, four hundred eighty".