81264596025600 has 1080 divisors, whose sum is σ = 324181404577800. Its totient is φ = 19966757437440.

The previous prime is 81264596025583. The next prime is 81264596025607. The reversal of 81264596025600 is 652069546218.

81264596025600 is a `hidden beast` number, since 8 + 1 + 2 + 6 + 4 + 5 + 9 + 6 + 0 + 25 + 600 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 60233493528576 + 21031102497024 = 7761024^2 + 4585968^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (81264596025607) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3753723576 + ... + 3753745224.

Almost surely, 2^{81264596025600} is an apocalyptic number.

81264596025600 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 81264596025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162090702288900).

81264596025600 is an abundant number, since it is smaller than the sum of its proper divisors (242916808552200).

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

81264596025600 is a wasteful number, since it uses less digits than its factorization.

81264596025600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22257 (or 22229 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 81264596025600 in words is "eighty-one trillion, two hundred sixty-four billion, five hundred ninety-six million, twenty-five thousand, six hundred".