181039985306080 has 384 divisors, whose sum is σ = 467556600526848. Its totient is φ = 66046884913152.

The previous prime is 181039985306053. The next prime is 181039985306113. The reversal of 181039985306080 is 80603589930181.

It is a super-2 number, since 2×181039985306080² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6401003619 + ... + 6401031901.

It is an arithmetic number, because the mean of its divisors is an integer number (1217595313872).

Almost surely, 2^{181039985306080} is an apocalyptic number.

181039985306080 is a gapful number since it is divisible by the number (10) 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 181039985306080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233778300263424).

181039985306080 is an abundant number, since it is smaller than the sum of its proper divisors (286516615220768).

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

181039985306080 is a wasteful number, since it uses less digits than its factorization.

181039985306080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29298 (or 29290 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 61.

The spelling of 181039985306080 in words is "one hundred eighty-one trillion, thirty-nine billion, nine hundred eighty-five million, three hundred six thousand, eighty".