81803164452240 has 480 divisors, whose sum is σ = 324266332769280. Its totient is φ = 16868300467200.

The previous prime is 81803164452187. The next prime is 81803164452263. The reversal of 81803164452240 is 4225446130818.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 81803164452240.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14532541 + ... + 19359779.

It is an arithmetic number, because the mean of its divisors is an integer number (675554859936).

Almost surely, 2^{81803164452240} is an apocalyptic number.

81803164452240 is a gapful number since it is divisible by the number (80) 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 81803164452240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162133166384640).

81803164452240 is an abundant number, since it is smaller than the sum of its proper divisors (242463168317040).

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

81803164452240 is a wasteful number, since it uses less digits than its factorization.

81803164452240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4827411 (or 4827398 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 81803164452240 in words is "eighty-one trillion, eight hundred three billion, one hundred sixty-four million, four hundred fifty-two thousand, two hundred forty".