18538520400 has 720 divisors, whose sum is σ = 72859176000. Its totient is φ = 4337418240.

The previous prime is 18538520369. The next prime is 18538520411. The reversal of 18538520400 is 402583581.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 124419526 + ... + 124419674.

It is an arithmetic number, because the mean of its divisors is an integer number (101193300).

Almost surely, 2^18538520400 is an apocalyptic number.

18538520400 is a gapful number since it is divisible by the number (10) 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 18538520400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36429588000).

18538520400 is an abundant number, since it is smaller than the sum of its proper divisors (54320655600).

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

18538520400 is a wasteful number, since it uses less digits than its factorization.

18538520400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 18538520400 in words is "eighteen billion, five hundred thirty-eight million, five hundred twenty thousand, four hundred".