21140925696 has 288 divisors, whose sum is σ = 68901114240. Its totient is φ = 6340608000.

The previous prime is 21140925679. The next prime is 21140925703. The reversal of 21140925696 is 69652904112.

21140925696 is a `hidden beast` number, since 211 + 409 + 25 + 6 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7677856 + ... + 7680608.

It is an arithmetic number, because the mean of its divisors is an integer number (239239980).

Almost surely, 2^21140925696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21140925696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34450557120).

21140925696 is an abundant number, since it is smaller than the sum of its proper divisors (47760188544).

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

21140925696 is a wasteful number, since it uses less digits than its factorization.

21140925696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2890 (or 2870 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 21140925696 in words is "twenty-one billion, one hundred forty million, nine hundred twenty-five thousand, six hundred ninety-six".