18225588729600 has 1728 divisors, whose sum is σ = 78257074560000. Its totient is φ = 4148792524800.

The previous prime is 18225588729547. The next prime is 18225588729613. The reversal of 18225588729600 is 692788552281.

18225588729600 is a `hidden beast` number, since 1 + 8 + 2 + 2 + 558 + 8 + 72 + 9 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19618501936 + ... + 19618502864.

Almost surely, 2^{18225588729600} is an apocalyptic number.

18225588729600 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 18225588729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39128537280000).

18225588729600 is an abundant number, since it is smaller than the sum of its proper divisors (60031485830400).

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

18225588729600 is an equidigital number, since it uses as much as digits as its factorization.

18225588729600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 18225588729600 in words is "eighteen trillion, two hundred twenty-five billion, five hundred eighty-eight million, seven hundred twenty-nine thousand, six hundred".