81874216800 has 360 divisors, whose sum is σ = 316147093416. Its totient is φ = 20548546560.

The previous prime is 81874216771. The next prime is 81874216807. The reversal of 81874216800 is 861247818.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×81874216800² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81874216807) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1064439 + ... + 1138761.

Almost surely, 2^81874216800 is an apocalyptic number.

81874216800 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 81874216800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158073546708).

81874216800 is an abundant number, since it is smaller than the sum of its proper divisors (234272876616).

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

81874216800 is a wasteful number, since it uses less digits than its factorization.

81874216800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74372 (or 74350 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 81874216800 in words is "eighty-one billion, eight hundred seventy-four million, two hundred sixteen thousand, eight hundred".