20010931200 has 1056 divisors, whose sum is σ = 84433345920. Its totient is φ = 4600627200.

The previous prime is 20010931153. The next prime is 20010931249. The reversal of 20010931200 is 213901002.

It is a happy number.

It is a super-2 number, since 2×20010931200² (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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 152755135 + ... + 152755265.

It is an arithmetic number, because the mean of its divisors is an integer number (79955820).

Almost surely, 2^20010931200 is an apocalyptic number.

20010931200 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 20010931200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42216672960).

20010931200 is an abundant number, since it is smaller than the sum of its proper divisors (64422414720).

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

20010931200 is a wasteful number, since it uses less digits than its factorization.

20010931200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The spelling of 20010931200 in words is "twenty billion, ten million, nine hundred thirty-one thousand, two hundred".