18955094041200 has 480 divisors, whose sum is σ = 61642898173440. Its totient is φ = 4978479104000.

The previous prime is 18955094041157. The next prime is 18955094041271. The reversal of 18955094041200 is 214049055981.

It is a super-2 number, since 2×18955094041200² (a number of 27 digits) contains 22 as substring.

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 18955094041200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29296899277 + ... + 29296899923.

It is an arithmetic number, because the mean of its divisors is an integer number (128422704528).

Almost surely, 2^{18955094041200} is an apocalyptic number.

18955094041200 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 18955094041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30821449086720).

18955094041200 is an abundant number, since it is smaller than the sum of its proper divisors (42687804132240).

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

18955094041200 is a wasteful number, since it uses less digits than its factorization.

18955094041200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 48.

The spelling of 18955094041200 in words is "eighteen trillion, nine hundred fifty-five billion, ninety-four million, forty-one thousand, two hundred".