23269010400 has 288 divisors, whose sum is σ = 84332102400. Its totient is φ = 6192115200.

The previous prime is 23269010381. The next prime is 23269010419. The reversal of 23269010400 is 401096232.

It is an interprime number because it is at equal distance from previous prime (23269010381) and next prime (23269010419).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14924821 + ... + 14926379.

It is an arithmetic number, because the mean of its divisors is an integer number (292819800).

Almost surely, 2^23269010400 is an apocalyptic number.

23269010400 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 23269010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42166051200).

23269010400 is an abundant number, since it is smaller than the sum of its proper divisors (61063092000).

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

23269010400 is a wasteful number, since it uses less digits than its factorization.

23269010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2279 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 23269010400 in words is "twenty-three billion, two hundred sixty-nine million, ten thousand, four hundred".