18077848588800 has 5760 divisors, whose sum is σ = 94328202608640. Its totient is φ = 3181864550400.

The previous prime is 18077848588753. The next prime is 18077848588879. The reversal of 18077848588800 is 888584877081.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 575 ways as a sum of consecutive naturals, for example, 81066585489 + ... + 81066585711.

It is an arithmetic number, because the mean of its divisors is an integer number (16376424064).

Almost surely, 2^{18077848588800} is an apocalyptic number.

18077848588800 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 18077848588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47164101304320).

18077848588800 is an abundant number, since it is smaller than the sum of its proper divisors (76250354019840).

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

18077848588800 is a wasteful number, since it uses less digits than its factorization.

18077848588800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 256901120, while the sum is 72.

The spelling of 18077848588800 in words is "eighteen trillion, seventy-seven billion, eight hundred forty-eight million, five hundred eighty-eight thousand, eight hundred".