21038911488 has 260 divisors, whose sum is σ = 71835725280. Its totient is φ = 6010454016.

The previous prime is 21038911483. The next prime is 21038911499. The reversal of 21038911488 is 88411983012.

21038911488 is a `hidden beast` number, since 210 + 389 + 11 + 48 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21038911483) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2317903 + ... + 2326961.

Almost surely, 2^21038911488 is an apocalyptic number.

21038911488 is a gapful number since it is divisible by the number (28) 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 21038911488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35917862640).

21038911488 is an abundant number, since it is smaller than the sum of its proper divisors (50796813792).

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

21038911488 is an frugal number, since it uses more digits than its factorization.

21038911488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9102 (or 9071 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 21038911488 in words is "twenty-one billion, thirty-eight million, nine hundred eleven thousand, four hundred eighty-eight".