1801975478688 has 1920 divisors, whose sum is σ = 7199585648640. Its totient is φ = 432059443200.

The previous prime is 1801975478687. The next prime is 1801975478713. The reversal of 1801975478688 is 8868745791081.

1801975478688 is a `hidden beast` number, since 1 + 8 + 0 + 1 + 9 + 75 + 478 + 6 + 88 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1801975478687) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 21710547895 + ... + 21710547977.

It is an arithmetic number, because the mean of its divisors is an integer number (3749784192).

Almost surely, 2^{1801975478688} is an apocalyptic number.

1801975478688 is a gapful number since it is divisible by the number (18) 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 1801975478688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3599792824320).

1801975478688 is an abundant number, since it is smaller than the sum of its proper divisors (5397610169952).

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

1801975478688 is a wasteful number, since it uses less digits than its factorization.

1801975478688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 216760320, while the sum is 72.

The spelling of 1801975478688 in words is "one trillion, eight hundred one billion, nine hundred seventy-five million, four hundred seventy-eight thousand, six hundred eighty-eight".