201006489600 has 1008 divisors, whose sum is σ = 854819329728. Its totient is φ = 45864714240.

The previous prime is 201006489581. The next prime is 201006489611. The reversal of 201006489600 is 6984600102.

201006489600 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 0 + 6 + 48 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×201006489600² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 71 ways as a sum of consecutive naturals, for example, 348364512 + ... + 348365088.

Almost surely, 2^201006489600 is an apocalyptic number.

201006489600 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 201006489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427409664864).

201006489600 is an abundant number, since it is smaller than the sum of its proper divisors (653812840128).

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

201006489600 is an frugal number, since it uses more digits than its factorization.

201006489600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 201006489600 in words is "two hundred one billion, six million, four hundred eighty-nine thousand, six hundred".