20928610560 has 288 divisors, whose sum is σ = 78528256128. Its totient is φ = 4683202560.

The previous prime is 20928610541. The next prime is 20928610607. The reversal of 20928610560 is 6501682902.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 530064 + ... + 568176.

It is an arithmetic number, because the mean of its divisors is an integer number (272667556).

Almost surely, 2^20928610560 is an apocalyptic number.

20928610560 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 20928610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39264128064).

20928610560 is an abundant number, since it is smaller than the sum of its proper divisors (57599645568).

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

20928610560 is a wasteful number, since it uses less digits than its factorization.

20928610560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38161 (or 38147 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 20928610560 in words is "twenty billion, nine hundred twenty-eight million, six hundred ten thousand, five hundred sixty".