1801115688960 has 1176 divisors, whose sum is σ = 7544846475936. Its totient is φ = 411349155840.

The previous prime is 1801115688947. The next prime is 1801115689103. The reversal of 1801115688960 is 698865111081.

1801115688960 is a `hidden beast` number, since 1 + 8 + 0 + 1 + 11 + 568 + 8 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1176).

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

It is a junction number, because it is equal to n+sod(n) for n = 1801115688897 and 1801115688906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1463131545 + ... + 1463132775.

Almost surely, 2^{1801115688960} is an apocalyptic number.

1801115688960 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 1801115688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3772423237968).

1801115688960 is an abundant number, since it is smaller than the sum of its proper divisors (5743730786976).

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

1801115688960 is an frugal number, since it uses more digits than its factorization.

1801115688960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 54.

The spelling of 1801115688960 in words is "one trillion, eight hundred one billion, one hundred fifteen million, six hundred eighty-eight thousand, nine hundred sixty".