18879148800000 has 1728 divisors, whose sum is σ = 71729571513600. Its totient is φ = 4777574400000.

The previous prime is 18879148799993. The next prime is 18879148800067. The reversal of 18879148800000 is 884197881.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 18879148800000.

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, 173203199946 + ... + 173203200054.

It is an arithmetic number, because the mean of its divisors is an integer number (41510168700).

Almost surely, 2^{18879148800000} is an apocalyptic number.

18879148800000 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 18879148800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35864785756800).

18879148800000 is an abundant number, since it is smaller than the sum of its proper divisors (52850422713600).

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

18879148800000 is an equidigital number, since it uses as much as digits as its factorization.

18879148800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 54.

The spelling of 18879148800000 in words is "eighteen trillion, eight hundred seventy-nine billion, one hundred forty-eight million, eight hundred thousand".