21035790720 has 1024 divisors, whose sum is σ = 91535616000. Its totient is φ = 4514807808.

The previous prime is 21035790719. The next prime is 21035790733. The reversal of 21035790720 is 2709753012.

21035790720 is a `hidden beast` number, since 2 + 10 + 3 + 579 + 0 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 186157384 + ... + 186157496.

It is an arithmetic number, because the mean of its divisors is an integer number (89390250).

Almost surely, 2^21035790720 is an apocalyptic number.

21035790720 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 21035790720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45767808000).

21035790720 is an abundant number, since it is smaller than the sum of its proper divisors (70499825280).

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

21035790720 is an equidigital number, since it uses as much as digits as its factorization.

21035790720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 21035790720 in words is "twenty-one billion, thirty-five million, seven hundred ninety thousand, seven hundred twenty".