23770195200 has 270 divisors, whose sum is σ = 87891158894. Its totient is φ = 6338580480.

The previous prime is 23770195193. The next prime is 23770195201. The reversal of 23770195200 is 259107732.

It can be written as a sum of positive squares in 3 ways, for example, as 6295470336 + 17474724864 = 79344^2 + 132192^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is a super-2 number, since 2×23770195200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23770195201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 495474 + ... + 541326.

Almost surely, 2^23770195200 is an apocalyptic number.

23770195200 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 23770195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43945579447).

23770195200 is an abundant number, since it is smaller than the sum of its proper divisors (64120963694).

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

23770195200 is an equidigital number, since it uses as much as digits as its factorization.

23770195200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45891 (or 45863 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 23770195200 in words is "twenty-three billion, seven hundred seventy million, one hundred ninety-five thousand, two hundred".