201861227520 has 528 divisors, whose sum is σ = 733901575680. Its totient is φ = 53195636736.

The previous prime is 201861227497. The next prime is 201861227539. The reversal of 201861227520 is 25722168102.

It is a happy number.

201861227520 is a `hidden beast` number, since 2 + 0 + 1 + 8 + 6 + 122 + 7 + 520 = 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 47 ways as a sum of consecutive naturals, for example, 110729329 + ... + 110731151.

Almost surely, 2^201861227520 is an apocalyptic number.

201861227520 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 201861227520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366950787840).

201861227520 is an abundant number, since it is smaller than the sum of its proper divisors (532040348160).

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

201861227520 is an equidigital number, since it uses as much as digits as its factorization.

201861227520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1952 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 201861227520 in words is "two hundred one billion, eight hundred sixty-one million, two hundred twenty-seven thousand, five hundred twenty".