81425145600 has 486 divisors, whose sum is σ = 301011442368. Its totient is φ = 20998656000.

The previous prime is 81425145523. The next prime is 81425145611. The reversal of 81425145600 is 654152418.

It is a happy number.

81425145600 is a `hidden beast` number, since 8 + 1 + 4 + 2 + 5 + 1 + 45 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 55352865 + ... + 55354335.

Almost surely, 2^81425145600 is an apocalyptic number.

81425145600 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 81425145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150505721184).

81425145600 is an abundant number, since it is smaller than the sum of its proper divisors (219586296768).

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

81425145600 is a wasteful number, since it uses less digits than its factorization.

81425145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 81425145600 in words is "eighty-one billion, four hundred twenty-five million, one hundred forty-five thousand, six hundred".