23293670400 has 1584 divisors, whose sum is σ = 113089511808. Its totient is φ = 4423680000.

The previous prime is 23293670399. The next prime is 23293670401. The reversal of 23293670400 is 407639232.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23293670399) and next prime (23293670401).

It is a tau number, because it is divible by the number of its divisors (1584).

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 (23293670401) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 230630350 + ... + 230630450.

Almost surely, 2^23293670400 is an apocalyptic number.

23293670400 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 23293670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56544755904).

23293670400 is an abundant number, since it is smaller than the sum of its proper divisors (89795841408).

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

23293670400 is a wasteful number, since it uses less digits than its factorization.

23293670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 23293670400 in words is "twenty-three billion, two hundred ninety-three million, six hundred seventy thousand, four hundred".