21219770880 has 960 divisors, whose sum is σ = 95231904768. Its totient is φ = 4399349760.

The previous prime is 21219770857. The next prime is 21219770903. The reversal of 21219770880 is 8807791212.

It is an interprime number because it is at equal distance from previous prime (21219770857) and next prime (21219770903).

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

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, 47899939 + ... + 47900381.

Almost surely, 2^21219770880 is an apocalyptic number.

21219770880 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 21219770880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47615952384).

21219770880 is an abundant number, since it is smaller than the sum of its proper divisors (74012133888).

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

21219770880 is an equidigital number, since it uses as much as digits as its factorization.

21219770880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 21219770880 in words is "twenty-one billion, two hundred nineteen million, seven hundred seventy thousand, eight hundred eighty".