81029130915200 has 768 divisors, whose sum is σ = 240535507867200. Its totient is φ = 26645700280320.

The previous prime is 81029130915191. The next prime is 81029130915233. The reversal of 81029130915200 is 251903192018.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13611475424 + ... + 13611481376.

Almost surely, 2^{81029130915200} is an apocalyptic number.

81029130915200 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 81029130915200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120267753933600).

81029130915200 is an abundant number, since it is smaller than the sum of its proper divisors (159506376952000).

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

81029130915200 is a wasteful number, since it uses less digits than its factorization.

81029130915200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7039 (or 7022 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 41.

The spelling of 81029130915200 in words is "eighty-one trillion, twenty-nine billion, one hundred thirty million, nine hundred fifteen thousand, two hundred".