81417705600 has 2304 divisors, whose sum is σ = 387575193600. Its totient is φ = 14598144000.

The previous prime is 81417705599. The next prime is 81417705613. The reversal of 81417705600 is 650771418.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2626377585 + ... + 2626377615.

It is an arithmetic number, because the mean of its divisors is an integer number (168218400).

Almost surely, 2^81417705600 is an apocalyptic number.

81417705600 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 81417705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193787596800).

81417705600 is an abundant number, since it is smaller than the sum of its proper divisors (306157488000).

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

81417705600 is a wasteful number, since it uses less digits than its factorization.

81417705600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 39.

The spelling of 81417705600 in words is "eighty-one billion, four hundred seventeen million, seven hundred five thousand, six hundred".