18745557600 has 864 divisors, whose sum is σ = 79467163776. Its totient is φ = 3793305600.

The previous prime is 18745557577. The next prime is 18745557601. The reversal of 18745557600 is 675554781.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 18745557600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18745557601) 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, 55624632 + ... + 55624968.

It is an arithmetic number, because the mean of its divisors is an integer number (91975884).

Almost surely, 2^18745557600 is an apocalyptic number.

18745557600 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 18745557600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39733581888).

18745557600 is an abundant number, since it is smaller than the sum of its proper divisors (60721606176).

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

18745557600 is a wasteful number, since it uses less digits than its factorization.

18745557600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 48.

The spelling of 18745557600 in words is "eighteen billion, seven hundred forty-five million, five hundred fifty-seven thousand, six hundred".