20258191200 has 288 divisors, whose sum is σ = 71920396800. Its totient is φ = 4922910720.

The previous prime is 20258191181. The next prime is 20258191201. The reversal of 20258191200 is 219185202.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20258191201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2460691 + ... + 2468909.

It is an arithmetic number, because the mean of its divisors is an integer number (249723600).

Almost surely, 2^20258191200 is an apocalyptic number.

20258191200 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 20258191200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35960198400).

20258191200 is an abundant number, since it is smaller than the sum of its proper divisors (51662205600).

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

20258191200 is a wasteful number, since it uses less digits than its factorization.

20258191200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8334 (or 8321 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The spelling of 20258191200 in words is "twenty billion, two hundred fifty-eight million, one hundred ninety-one thousand, two hundred".