207900225280 has 864 divisors, whose sum is σ = 620083537920. Its totient is φ = 66421555200.

The previous prime is 207900225251. The next prime is 207900225307. The reversal of 207900225280 is 82522009702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3922645734 + ... + 3922645786.

It is an arithmetic number, because the mean of its divisors is an integer number (717689280).

Almost surely, 2^207900225280 is an apocalyptic number.

207900225280 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 207900225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310041768960).

207900225280 is an abundant number, since it is smaller than the sum of its proper divisors (412183312640).

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

207900225280 is a wasteful number, since it uses less digits than its factorization.

207900225280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 207900225280 in words is "two hundred seven billion, nine hundred million, two hundred twenty-five thousand, two hundred eighty".