201958894080 has 280 divisors, whose sum is σ = 726016597812. Its totient is φ = 53855207424.

The previous prime is 201958893967. The next prime is 201958894097. The reversal of 201958894080 is 80498859102.

201958894080 is a `hidden beast` number, since 2 + 0 + 19 + 588 + 9 + 40 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 189245880576 + 12713013504 = 435024^2 + 112752^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1812132 + ... + 1920348.

Almost surely, 2^201958894080 is an apocalyptic number.

201958894080 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 201958894080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363008298906).

201958894080 is an abundant number, since it is smaller than the sum of its proper divisors (524057703732).

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

201958894080 is an frugal number, since it uses more digits than its factorization.

201958894080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108258 (or 108227 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 201958894080 in words is "two hundred one billion, nine hundred fifty-eight million, eight hundred ninety-four thousand, eighty".