20010661200 has 720 divisors, whose sum is σ = 77236723200. Its totient is φ = 4964198400.

The previous prime is 20010661183. The next prime is 20010661267. The reversal of 20010661200 is 216601002.

It is a happy number.

20010661200 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 0 + 661 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×20010661200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 87382686 + ... + 87382914.

Almost surely, 2^20010661200 is an apocalyptic number.

20010661200 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 20010661200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38618361600).

20010661200 is an abundant number, since it is smaller than the sum of its proper divisors (57226062000).

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

20010661200 is a wasteful number, since it uses less digits than its factorization.

20010661200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The spelling of 20010661200 in words is "twenty billion, ten million, six hundred sixty-one thousand, two hundred".