1801521388800 has 4320 divisors, whose sum is σ = 8942840121600. Its totient is φ = 347807416320.

The previous prime is 1801521388787. The next prime is 1801521388831. The reversal of 1801521388800 is 88831251081.

1801521388800 is a `hidden beast` number, since 18 + 0 + 1 + 521 + 38 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 33990969574 + ... + 33990969626.

It is an arithmetic number, because the mean of its divisors is an integer number (2070101880).

Almost surely, 2^{1801521388800} is an apocalyptic number.

1801521388800 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 1801521388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4471420060800).

1801521388800 is an abundant number, since it is smaller than the sum of its proper divisors (7141318732800).

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

1801521388800 is a wasteful number, since it uses less digits than its factorization.

1801521388800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 45.

The spelling of 1801521388800 in words is "one trillion, eight hundred one billion, five hundred twenty-one million, three hundred eighty-eight thousand, eight hundred".