19920825600 has 216 divisors, whose sum is σ = 70800905952. Its totient is φ = 4903526400.

The previous prime is 19920825569. The next prime is 19920825611. The reversal of 19920825600 is 652802991.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209695 + ... + 289505.

It is an arithmetic number, because the mean of its divisors is an integer number (327781972).

Almost surely, 2^19920825600 is an apocalyptic number.

19920825600 is a gapful number since it is divisible by the number (10) 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 19920825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35400452976).

19920825600 is an abundant number, since it is smaller than the sum of its proper divisors (50880080352).

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

19920825600 is a wasteful number, since it uses less digits than its factorization.

19920825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79853 (or 79834 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 19920825600 in words is "nineteen billion, nine hundred twenty million, eight hundred twenty-five thousand, six hundred".