81434028160 has 128 divisors (see below), whose sum is σ = 208634227200. Its totient is φ = 30315073536.

The previous prime is 81434028121. The next prime is 81434028163. The reversal of 81434028160 is 6182043418.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (81434028163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 469881 + ... + 619399.

It is an arithmetic number, because the mean of its divisors is an integer number (1629954900).

Almost surely, 2^81434028160 is an apocalyptic number.

81434028160 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 81434028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104317113600).

81434028160 is an abundant number, since it is smaller than the sum of its proper divisors (127200199040).

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

81434028160 is a wasteful number, since it uses less digits than its factorization.

81434028160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149598 (or 149586 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The spelling of 81434028160 in words is "eighty-one billion, four hundred thirty-four million, twenty-eight thousand, one hundred sixty".