21796266240 has 864 divisors, whose sum is σ = 91882869120. Its totient is φ = 4877107200.

The previous prime is 21796266203. The next prime is 21796266251. The reversal of 21796266240 is 4266269712.

21796266240 is a `hidden beast` number, since 2 + 17 + 9 + 6 + 2 + 6 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 103299735 + ... + 103299945.

Almost surely, 2^21796266240 is an apocalyptic number.

21796266240 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 21796266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45941434560).

21796266240 is an abundant number, since it is smaller than the sum of its proper divisors (70086602880).

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

21796266240 is a wasteful number, since it uses less digits than its factorization.

21796266240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 21796266240 in words is "twenty-one billion, seven hundred ninety-six million, two hundred sixty-six thousand, two hundred forty".