1918745560800 has 720 divisors, whose sum is σ = 7187790733200. Its totient is φ = 497912832000.

The previous prime is 1918745560769. The next prime is 1918745560807. The reversal of 1918745560800 is 80655478191.

It is a happy number.

1918745560800 is a `hidden beast` number, since 1 + 9 + 1 + 8 + 7 + 4 + 556 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1918745560807) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 386140716 + ... + 386145684.

It is an arithmetic number, because the mean of its divisors is an integer number (9983042685).

Almost surely, 2^{1918745560800} is an apocalyptic number.

1918745560800 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 1918745560800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3593895366600).

1918745560800 is an abundant number, since it is smaller than the sum of its proper divisors (5269045172400).

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

1918745560800 is a wasteful number, since it uses less digits than its factorization.

1918745560800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5161 (or 5139 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 1918745560800 in words is "one trillion, nine hundred eighteen billion, seven hundred forty-five million, five hundred sixty thousand, eight hundred".