81800751718400 has 1008 divisors, whose sum is σ = 247898970783744. Its totient is φ = 26568622080000.

The previous prime is 81800751718391. The next prime is 81800751718423. The reversal of 81800751718400 is 481715700818.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9986658305 + ... + 9986666495.

Almost surely, 2^{81800751718400} is an apocalyptic number.

81800751718400 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 81800751718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123949485391872).

81800751718400 is an abundant number, since it is smaller than the sum of its proper divisors (166098219065344).

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

81800751718400 is a wasteful number, since it uses less digits than its factorization.

81800751718400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8293 (or 8253 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 50.

The spelling of 81800751718400 in words is "eighty-one trillion, eight hundred billion, seven hundred fifty-one million, seven hundred eighteen thousand, four hundred".