201048007680 has 1056 divisors, whose sum is σ = 791841173760. Its totient is φ = 46820229120.

The previous prime is 201048007679. The next prime is 201048007703. The reversal of 201048007680 is 86700840102.

201048007680 is a `hidden beast` number, since 20 + 10 + 480 + 0 + 76 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1233423279 + ... + 1233423441.

Almost surely, 2^201048007680 is an apocalyptic number.

201048007680 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 201048007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395920586880).

201048007680 is an abundant number, since it is smaller than the sum of its proper divisors (590793166080).

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

201048007680 is a wasteful number, since it uses less digits than its factorization.

201048007680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Adding to 201048007680 its reverse (86700840102), we get a palindrome (287748847782).

The spelling of 201048007680 in words is "two hundred one billion, forty-eight million, seven thousand, six hundred eighty".