81434067120 has 640 divisors, whose sum is σ = 333478656000. Its totient is φ = 17871114240.

The previous prime is 81434067107. The next prime is 81434067151. The reversal of 81434067120 is 2176043418.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 100411515 + ... + 100412325.

It is an arithmetic number, because the mean of its divisors is an integer number (521060400).

Almost surely, 2^81434067120 is an apocalyptic number.

81434067120 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 81434067120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166739328000).

81434067120 is an abundant number, since it is smaller than the sum of its proper divisors (252044588880).

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

81434067120 is a wasteful number, since it uses less digits than its factorization.

81434067120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 81434067120 in words is "eighty-one billion, four hundred thirty-four million, sixty-seven thousand, one hundred twenty".