81425225338200 has 768 divisors, whose sum is σ = 292973248512000. Its totient is φ = 20763086400000.

The previous prime is 81425225338199. The next prime is 81425225338201. The reversal of 81425225338200 is 283352252418.

81425225338200 is a `hidden beast` number, since 8 + 1 + 42 + 5 + 225 + 3 + 382 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (81425225338199) and next prime (81425225338201).

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 (81425225338201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5336202171 + ... + 5336217429.

It is an arithmetic number, because the mean of its divisors is an integer number (381475584000).

Almost surely, 2^{81425225338200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81425225338200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146486624256000).

81425225338200 is an abundant number, since it is smaller than the sum of its proper divisors (211548023173800).

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

81425225338200 is a wasteful number, since it uses less digits than its factorization.

81425225338200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15693 (or 15678 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 81425225338200 in words is "eighty-one trillion, four hundred twenty-five billion, two hundred twenty-five million, three hundred thirty-eight thousand, two hundred".