21059390880 has 576 divisors, whose sum is σ = 83354334336. Its totient is φ = 4976640000.

The previous prime is 21059390861. The next prime is 21059390903. The reversal of 21059390880 is 8809395012.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 17534280 + ... + 17535480.

It is an arithmetic number, because the mean of its divisors is an integer number (144712386).

Almost surely, 2^21059390880 is an apocalyptic number.

21059390880 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 21059390880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41677167168).

21059390880 is an abundant number, since it is smaller than the sum of its proper divisors (62294943456).

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

21059390880 is a wasteful number, since it uses less digits than its factorization.

21059390880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 21059390880 in words is "twenty-one billion, fifty-nine million, three hundred ninety thousand, eight hundred eighty".