21000896928 has 288 divisors, whose sum is σ = 67580158464. Its totient is φ = 6128640000.

The previous prime is 21000896927. The next prime is 21000896947. The reversal of 21000896928 is 82969800012.

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

It is not an unprimeable number, because it can be changed into a prime (21000896921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27596068 + ... + 27596828.

It is an arithmetic number, because the mean of its divisors is an integer number (234653328).

Almost surely, 2^21000896928 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 21000896928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33790079232).

21000896928 is an abundant number, since it is smaller than the sum of its proper divisors (46579261536).

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

21000896928 is a wasteful number, since it uses less digits than its factorization.

21000896928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

It can be divided in two parts, 210008 and 96928, that added together give a triangular number (306936 = T₇₈₃).

The spelling of 21000896928 in words is "twenty-one billion, eight hundred ninety-six thousand, nine hundred twenty-eight".