21245829696 has 672 divisors, whose sum is σ = 80441157888. Its totient is φ = 5202247680.

The previous prime is 21245829691. The next prime is 21245829701. The reversal of 21245829696 is 69692854212.

21245829696 is a `hidden beast` number, since 2 + 12 + 458 + 2 + 96 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (21245829691) and next prime (21245829701).

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (21245829691) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 100691031 + ... + 100691241.

It is an arithmetic number, because the mean of its divisors is an integer number (119704104).

Almost surely, 2^21245829696 is an apocalyptic number.

21245829696 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 21245829696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40220578944).

21245829696 is an abundant number, since it is smaller than the sum of its proper divisors (59195328192).

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

21245829696 is a wasteful number, since it uses less digits than its factorization.

21245829696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 366 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 21245829696 in words is "twenty-one billion, two hundred forty-five million, eight hundred twenty-nine thousand, six hundred ninety-six".