201048583680 has 1200 divisors, whose sum is σ = 857513169216. Its totient is φ = 44869386240.

The previous prime is 201048583679. The next prime is 201048583693. The reversal of 201048583680 is 86385840102.

201048583680 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 4 + 8 + 583 + 68 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 477549870 + ... + 477550290.

Almost surely, 2^201048583680 is an apocalyptic number.

201048583680 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 201048583680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428756584608).

201048583680 is an abundant number, since it is smaller than the sum of its proper divisors (656464585536).

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

201048583680 is an equidigital number, since it uses as much as digits as its factorization.

201048583680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 201048583680 in words is "two hundred one billion, forty-eight million, five hundred eighty-three thousand, six hundred eighty".