18087469824000 has 768 divisors, whose sum is σ = 65533732992000. Its totient is φ = 4411795046400.

The previous prime is 18087469823999. The next prime is 18087469824001. The reversal of 18087469824000 is 42896478081.

It is an interprime number because it is at equal distance from previous prime (18087469823999) and next prime (18087469824001).

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×18087469824000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18087469824001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 423146629 + ... + 423189371.

It is an arithmetic number, because the mean of its divisors is an integer number (85330381500).

Almost surely, 2^{18087469824000} is an apocalyptic number.

18087469824000 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 18087469824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32766866496000).

18087469824000 is an abundant number, since it is smaller than the sum of its proper divisors (47446263168000).

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

18087469824000 is a wasteful number, since it uses less digits than its factorization.

18087469824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42831 (or 42801 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 57.

The spelling of 18087469824000 in words is "eighteen trillion, eighty-seven billion, four hundred sixty-nine million, eight hundred twenty-four thousand".