21024776880 has 320 divisors, whose sum is σ = 74127398400. Its totient is φ = 5475824640.

The previous prime is 21024776867. The next prime is 21024776897. The reversal of 21024776880 is 8867742012.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18957766 + ... + 18958874.

It is an arithmetic number, because the mean of its divisors is an integer number (231648120).

Almost surely, 2^21024776880 is an apocalyptic number.

21024776880 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 21024776880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37063699200).

21024776880 is an abundant number, since it is smaller than the sum of its proper divisors (53102621520).

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

21024776880 is a wasteful number, since it uses less digits than its factorization.

21024776880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 21024776880 in words is "twenty-one billion, twenty-four million, seven hundred seventy-six thousand, eight hundred eighty".