18027456920400 has 960 divisors, whose sum is σ = 64483808772096. Its totient is φ = 4289649408000.

The previous prime is 18027456920327. The next prime is 18027456920453. The reversal of 18027456920400 is 402965472081.

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 18027456920400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2694281055 + ... + 2694287745.

Almost surely, 2^{18027456920400} is an apocalyptic number.

18027456920400 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 18027456920400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32241904386048).

18027456920400 is an abundant number, since it is smaller than the sum of its proper divisors (46456351851696).

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

18027456920400 is a wasteful number, since it uses less digits than its factorization.

18027456920400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6880 (or 6869 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 18027456920400 in words is "eighteen trillion, twenty-seven billion, four hundred fifty-six million, nine hundred twenty thousand, four hundred".