201699616320 has 560 divisors, whose sum is σ = 757723412160. Its totient is φ = 50788601856.

The previous prime is 201699616267. The next prime is 201699616343. The reversal of 201699616320 is 23616996102.

201699616320 is a `hidden beast` number, since 2 + 0 + 1 + 6 + 9 + 9 + 6 + 1 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 229987722 + ... + 229988598.

Almost surely, 2^201699616320 is an apocalyptic number.

201699616320 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 201699616320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378861706080).

201699616320 is an abundant number, since it is smaller than the sum of its proper divisors (556023795840).

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

201699616320 is a wasteful number, since it uses less digits than its factorization.

201699616320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 201699616320 in words is "two hundred one billion, six hundred ninety-nine million, six hundred sixteen thousand, three hundred twenty".