21105763350 has 192 divisors, whose sum is σ = 64159464960. Its totient is φ = 4483814400.

The previous prime is 21105763249. The next prime is 21105763361. The reversal of 21105763350 is 5336750112.

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, 1047370 + ... + 1067330.

It is an arithmetic number, because the mean of its divisors is an integer number (334163880).

Almost surely, 2^21105763350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21105763350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32079732480).

21105763350 is an abundant number, since it is smaller than the sum of its proper divisors (43053701610).

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

21105763350 is a wasteful number, since it uses less digits than its factorization.

21105763350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20055 (or 20050 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

The spelling of 21105763350 in words is "twenty-one billion, one hundred five million, seven hundred sixty-three thousand, three hundred fifty".