201098626560 has 640 divisors, whose sum is σ = 809823168000. Its totient is φ = 46891892736.

The previous prime is 201098626559. The next prime is 201098626607. The reversal of 201098626560 is 65626890102.

201098626560 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 9 + 86 + 2 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 63 ways as a sum of consecutive naturals, for example, 17066751 + ... + 17078529.

It is an arithmetic number, because the mean of its divisors is an integer number (1265348700).

Almost surely, 2^201098626560 is an apocalyptic number.

201098626560 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 201098626560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404911584000).

201098626560 is an abundant number, since it is smaller than the sum of its proper divisors (608724541440).

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

201098626560 is a wasteful number, since it uses less digits than its factorization.

201098626560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11843 (or 11821 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 201098626560 in words is "two hundred one billion, ninety-eight million, six hundred twenty-six thousand, five hundred sixty".