21190268736 has 1176 divisors, whose sum is σ = 85072264704. Its totient is φ = 5173217280.

The previous prime is 21190268717. The next prime is 21190268747. The reversal of 21190268736 is 63786209112.

It is a tau number, because it is divible by the number of its divisors (1176).

It is a junction number, because it is equal to n+sod(n) for n = 21190268691 and 21190268700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 683557041 + ... + 683557071.

Almost surely, 2^21190268736 is an apocalyptic number.

21190268736 is a gapful number since it is divisible by the number (26) 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 21190268736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42536132352).

21190268736 is an abundant number, since it is smaller than the sum of its proper divisors (63881995968).

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

21190268736 is a wasteful number, since it uses less digits than its factorization.

21190268736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 21190268736 in words is "twenty-one billion, one hundred ninety million, two hundred sixty-eight thousand, seven hundred thirty-six".